Selected topics in analytic conformal bootstrap: a guided journey (Q2111033)

scientific article; zbMATH DE number 7636899

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English	Selected topics in analytic conformal bootstrap: a guided journey	scientific article; zbMATH DE number 7636899

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title

Selected topics in analytic conformal bootstrap: a guided journey (English)

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23 December 2022

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full work available at URL

https://arxiv.org/abs/2202.08475

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zbMATH Keywords

conformal field theories

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conformal bootstrap

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analytic bootstrap

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MaRDI profile type

Publication

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cites work

Conformal field theory

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Infinite conformal symmetry in two-dimensional quantum field theory

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Bounding scalar operator dimensions in 4D CFT

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Solving the 3d Ising model with the conformal bootstrap. II: $c$-minimization and precise critical exponents

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Precision islands in the Ising and $O(N)$ models

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The Conformal Bootstrap

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Large $N$ field theories, string theory and gravity

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Q5701499

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TASI Lectures on AdS/CFT

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Q4222737

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Q3579593

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Boundary and interface CFTs from the conformal bootstrap

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Bootstrap equations for $ \mathcal{N} = 4$ SYM with defects

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Analytic bootstrap for boundary CFT

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The functional bootstrap for boundary CFT

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CFT in AdS and boundary RG flows

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Fermions in AdS and Gross-Neveu BCFT

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Bulk locality and boundary creating operators

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Bulk local states and crosscaps in holographic CFT

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𝜖-expansion in critical ϕ3-theory on real projective space from conformal field theory

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Three ways to solve critical ϕ4 theory on 4 − 𝜖 dimensional real projective space: Perturbation, bootstrap, and Schwinger–Dyson equation

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Aspects of CFTs on real projective space

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From $\mathcal{N} = 4$ super-Yang-Mills on $\mathbb{R} \mathbb{P}^4$ to bosonic Yang-Mills on $\mathbb{R} \mathbb{P}^2$

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Conformal field theories near a boundary in general dimensions

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Analytic bounds and emergence of $\mathrm{AdS}_{2}$ physics from the conformal bootstrap

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Analytic functional bootstrap for CFTs in $d > 1$

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A basis of analytic functionals for CFTs in general dimension

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Dispersive CFT sum rules

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Anti de Sitter space and holography

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A conformal dispersion relation: correlations from absorption

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Cut-touching linear functionals in the conformal bootstrap

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Rényi entropy and conformal defects

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Defects in conformal field theory

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Conformal constraints on defects

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Half-BPS Wilson loop and $\mathrm{AdS}_{2}/\mathrm{CFT}_{1}$

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Anomalous dimensions in the WF O($N$) model with a monodromy line defect

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Radial coordinates for defect CFTs

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Universality at large transverse spin in defect CFT

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Bootstrapping the half-BPS line defect

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Calogero-Sutherland approach to defect blocks

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Spinning operators and defects in conformal field theory

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A Lorentzian inversion formula for defect CFT

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Taming defects in $\mathcal{N} = 4$ super-Yang-Mills

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Defect CFT in the 6d (2,0) theory from M2 brane dynamics in $\mathrm{AdS}_7 \times S^4$

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Non-perturbative defect one-point functions in planar $\mathcal{N} = 4$ super-Yang-Mills

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Line and surface defects for the free scalar field

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Superconformal boundaries in $4 - \varepsilon$ dimensions

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Bootstrapping monodromy defects in the Wess-Zumino model

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Bootstrapping holographic defect correlators in $\mathcal{N} = 4$ super Yang-Mills

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The conformal bootstrap at finite temperature

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Thermal CFTs in momentum space

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Holographic correlators at finite temperature

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Comments on operators with large spin

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The analytic bootstrap and AdS superhorizon locality

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The large $N$ limit of superconformal field theories and supergravity

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Gauge theory correlators from non-critical string theory

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Analyticity in spin in conformal theories

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Light-ray operators in conformal field theory

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Conformal four point functions and the operator product expansion

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Conformal partial waves and the operator product expansion

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Large spin systematics in CFT

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Higher-spin correlators

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Analytic bootstrap at large spin

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Universal anomalous dimensions at large spin and large twist

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An algebraic approach to the analytic bootstrap

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Conformal bootstrap with slightly broken higher spin symmetry

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The lightcone bootstrap and the spectrum of the 3d Ising CFT

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Holographic reconstruction of AdS exchanges from crossing symmetry

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Loops in AdS from conformal field theory

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Conformal Regge theory

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A spacetime derivation of the Lorentzian OPE inversion formula

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Writing CFT correlation functions as AdS scattering amplitudes

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Correlation functions in holographic minimal models

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A natural language for AdS/CFT correlators

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Factorization of Mellin amplitudes

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Spinning Mellin Bootstrap: Conformal Partial Waves, Crossing Kernels and Applications

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Towards spinning Mellin amplitudes

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Crossing symmetry, transcendentality and the Regge behaviour of 1d CFTs

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Mellin amplitudes for $1d$ CFT

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AdS/CFT four-point functions: how to succeed at $z$-integrals without really trying

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Analyticity and the holographic $S$-matrix

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Critical properties of $\Phi^4$-theories

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The $\epsilon $-expansion from conformal field theory

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$\epsilon$-expansions near three dimensions from conformal field theory

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On critical exponents without Feynman diagrams

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A Mellin space approach to the conformal bootstrap

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Simplifying large spin bootstrap in Mellin space

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Mellin space bootstrap for global symmetry

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Nonperturbative Mellin amplitudes: existence, properties, applications

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Taming the $\epsilon$-expansion with large spin perturbation theory

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Mixed correlator dispersive CFT sum rules

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Dispersion relation for CFT four-point functions

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QFT, EFT and GFT

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An alternative to diagrams for the critical O$(N)$ model: dimensions and structure constants to order $1/N^2$

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Crossing antisymmetric Polyakov blocks + dispersion relation

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Graviton exchange and complete four-point functions in the AdS/CFT correspondence

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Implications of superconformal symmetry for interacting (2,0) tensor multiplets

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Correlation functions and massive Kaluza-Klein modes in the AdS/CFT correspondence

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On a large $N$ degeneracy in $N=4$ SYM and the AdS/CFT correspondence

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$\mathcal N= 6$ superconformal Chern-Simons-matter theories, M2-branes and their gravity duals

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On short and semi-short representations for four-dimensional superconformal symmetry.

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Aspects of superconformal multiplets in $D > 4$

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Multiplets of superconformal symmetry in diverse dimensions

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Infinite chiral symmetry in four dimensions

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Exact correlators of BPS operators from the 3d superconformal bootstrap

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Deformation quantization and superconformal symmetry in three dimensions

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Multipoint correlators on the supersymmetric Wilson line defect CFT

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Scalar quartic couplings in type IIB supergravity on $\text{AdS}_5\times S^5$

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How to succeed at holographic correlators without really trying

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Towards 4-point correlation functions of any $ \frac{1}{2} $-BPS operators from supergravity

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More on holographic correlators: twisted and dimensionally reduced structures

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Dimensionally-regulated pentagon integrals

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$\mathcal{N} = 4$ superconformal Ward identities for correlation functions

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On superconformal four-point Mellin amplitudes in dimension $d>2$

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Partial non-renormalisation of the stress-tensor four-point function in N=4 SYM and AdS/CFT

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Superconformal ward identities and their solution

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Three-point functions of chiral operators in $D=4$, ${\mathcal N}=4$ SYM at large $N$

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Next-next-to-extremal four point functions of $\mathcal{N}=4 $ 1/2-BPS operators in the AdS/CFT correspondence

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Conjectures for large $\mathcal N=4$ superconformal chiral primary four point functions

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Four-point functions of all-different-weight chiral primary operators in the supergravity approximation

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Four-point functions of 1/2-BPS operators of any weights in the supergravity approximation

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All tree-level correlators in $\mathrm{AdS}_{5} \times S_{5}$ supergravity: hidden ten-dimensional conformal symmetry

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$\mathrm{AdS}_{3} \times S^3$ tree-level correlators: hidden six-dimensional conformal symmetry

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Holographic four-point functions in the (2, 0) theory

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Random field Ising model and Parisi-Sourlas supersymmetry. I: Supersymmetric CFT

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How to succeed at Witten diagram recursions without really trying

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Small $E_{8}$ instantons and tensionless non-critical strings

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Comments on string dynamics in six dimensions

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On Mellin amplitudes in SCFTs with eight supercharges

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Carving out the end of the world or (superconformal bootstrap in six dimensions)

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Double copy structure of CFT correlators

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Scattering equations in AdS: scalar correlators in arbitrary dimensions

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Color/kinematics duality in $\mathrm{AdS}_4$

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Double copy structure of parity-violating CFT correlators

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Towards color-kinematics duality in generic spacetimes

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On the differential representation and color-kinematics duality of AdS boundary correlators

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On-shell correlators and color-kinematics duality in curved symmetric spacetimes

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Quantum gravity from conformal field theory

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Unmixing supergravity

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Simplicity of AdS supergravity at one loop

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Loop corrections for Kaluza-Klein AdS amplitudes

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One-loop amplitudes in $\mathrm{AdS}_5 \times S^5$ supergravity from $\mathcal{N} = 4$ SYM at strong coupling

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Gravitational S-matrix from CFT dispersion relations

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One-loop gluon amplitudes in AdS

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The M-theory S-matrix from ABJM: beyond 11D supergravity

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M-theory reconstruction from (2,0) CFT and the chiral algebra conjecture

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Absence of $D^4R^4$ in M-theory from ABJM

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$\mathcal{N} = 4$ super-Yang-Mills correlators at strong coupling from string theory and localization

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Genus-2 holographic correlator on $\mathrm{AdS}_5 \times S^5$ from localization

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String corrections to AdS amplitudes and the double-trace spectrum of $\mathcal{N} = 4$ SYM

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Towards the Virasoro-Shapiro amplitude in $\mathrm{AdS}_5 \times S^5$

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The Virasoro-Shapiro amplitude in $\mathrm{AdS}_5 \times \mathrm{S}^5$ and level splitting of 10d conformal symmetry

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One-loop string corrections to AdS amplitudes from CFT

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One-loop string corrections for AdS Kaluza-Klein amplitudes

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Modular invariance in superstring theory from $\mathcal{N} = 4$ super-Yang-Mills

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New modular invariants in $\mathcal{N} = 4$ super-Yang-Mills theory

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Exact expressions for $n$-point maximal $\mathrm{U}(1)_Y$-violating integrated correlators in $\mathrm{SU}(N)$ $\mathcal{N} = 4$ SYM

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Holographic 4-point correlators with heavy states

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Rebooting quarter-BPS operators in $\mathcal{N} = 4$ super Yang-Mills

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Holographic correlators with multi-particle states

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On graviton non-gaussianities during inflation

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A bispinor formalism for spinning Witten diagrams

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Weight shifting operators and conformal blocks

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AdS weight shifting operators

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Scattering of massless particles: scalars, gluons and gravitons

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A universal inequality for CFT and quantum gravity

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Bounds for state degeneracies in 2D conformal field theory

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Modular constraints on Calabi-Yau compactifications

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Constraints on 2d CFT partition functions

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Universal spectrum of 2d conformal field theory in the large $c$ limit

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Universal bounds on charged states in 2d CFT and 3d gravity

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Modular bootstrap revisited

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A new handle on three-point coefficients: OPE asymptotics from genus two modular invariance

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Genus two modular bootstrap

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Constraints on flavored 2d CFT partition functions

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Fast conformal bootstrap and constraints on 3d gravity

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Modular invariance, Tauberian theorems and microcanonical entropy

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Harmonic analysis of 2d CFT partition functions

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Sphere packing and quantum gravity

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Distributions in CFT. I: Cross-ratio space

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The S-matrix bootstrap. III: Higher dimensional amplitudes

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S-matrix bootstrap in 3 + 1 dimensions: regularization and dual convex problem

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Sharp boundaries for the swampland

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AdS bulk locality from sharp CFT bounds

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The cosmological bootstrap: inflationary correlators from symmetries and singularities

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Bootstrapping inflationary correlators in Mellin space

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From dS to AdS and back

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Conformal bootstrap at large charge

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Nonrelativistic CFTs at large charge: Casimir energy and logarithmic enhancements

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Following the flow for large N and large charge

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Resurgence of the large-charge expansion

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On the CFT operator spectrum at large global charge

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Selected topics in the large quantum number expansion

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Logarithmic conformal field theory: beyond an introduction

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The ABC (in any D) of logarithmic CFT

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Two-dimensional $O(n)$ models and logarithmic CFTs

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OPE convergence in non-relativistic conformal field theories

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The nuts and bolts of the BMS bootstrap

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Constructing Carrollian CFTs

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On Galilean conformal bootstrap

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The $ \mathcal{N}=2 $ superconformal bootstrap

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Bootstrapping SCFTs with four supercharges

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Stress-tensor OPE in $ \mathcal{N}=2 $ superconformal theories

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Bootstrapping $ \mathcal{N}=2 $ chiral correlators

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$ \mathcal{N}=2 $ central charge bounds from $2d$ chiral algebras

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$(2,2)$ superconformal bootstrap in two dimensions

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Bootstrapping $ \mathcal{N}=3 $ superconformal theories

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Long multiplet bootstrap

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Superconformal blocks for SCFTs with eight supercharges

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Spheres, charges, instantons, and bootstrap: a five-dimensional odyssey

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The M-theory archipelago

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Bootstrapping $\mathcal{N} = 4$ super-Yang-Mills on the conformal manifold

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From spinning conformal blocks to matrix Calogero-Sutherland models

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Harmony of spinning conformal blocks

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Integrability of conformal blocks. I: Calogero-Sutherland scattering theory

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Defect conformal blocks from Appell functions

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Superconformal blocks: general theory

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Gaudin models and multipoint conformal blocks. II: Comb channel vertices in 3D and 4D

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Gaudin models and multipoint conformal blocks: general theory

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Gaudin models and multipoint conformal blocks. III: Comb channel coordinates and OPE factorisation

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Causality constraints on corrections to the graviton three-point coupling

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A new spin on causality constraints

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A proof of the conformal collider bounds

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Beyond $a=c$: gravitational couplings to matter and the stress tensor OPE

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Nonperturbative matching between equal-time and lightcone quantization

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Universal lowest-twist in CFTs from holography

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Black holes and conformal Regge bootstrap

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Stress tensor sector of conformal correlators operators in the Regge limit

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On conformal blocks, crossing kernels and multi-variable hypergeometric functions

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Recursion relations in Witten diagrams and conformal partial waves

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Crossing symmetry in alpha space

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$d$-dimensional SYK, AdS loops, and $6j$ symbols

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Anomalous dimensions from crossing kernels

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Dimensional reduction for conformal blocks

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describes a project that uses

Digital Library of Mathematical Functions

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.PHYSREP.2022.09.004

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Sitelinks

Mathematics(1 entry)

mardi Publication:2111033