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The SAGEX review on scattering amplitudes Chapter 10: Selected topics on modular covariance of type IIB string amplitudes and their N=4 supersymmetric Yang–Mills duals - MaRDI portal

The SAGEX review on scattering amplitudes Chapter 10: Selected topics on modular covariance of type IIB string amplitudes and their N=4 supersymmetric Yang–Mills duals (Q5878302)

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scientific article; zbMATH DE number 7655510

Language	Label	Description	Also known as
English	The SAGEX review on scattering amplitudes Chapter 10: Selected topics on modular covariance of type IIB string amplitudes and their N=4 supersymmetric Yang–Mills duals	scientific article; zbMATH DE number 7655510

Statements

scholarly article

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The SAGEX review on scattering amplitudes Chapter 10: Selected topics on modular covariance of type IIB string amplitudes and their N=4 supersymmetric Yang–Mills duals (English)

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Daniele Dorigoni

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Michael B. Green

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Journal of Physics A: Mathematical and Theoretical

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publication date

20 February 2023

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full work available at URL

https://arxiv.org/abs/2203.13021

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zbMATH Keywords

superstring theory

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conformal field theory

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scattering amplitudes

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duality

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AdS/CFT correspondence

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MaRDI profile type

MaRDI publication profile

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An \(\text{SL}(2,{\mathbb{Z}})\) anomaly in IIB supergravity and its F-theory interpretation

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Effects of D-instantons

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Modular forms and SL(2, $\mathbb{Z}$)-covariance of type IIB superstring theory

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Simple superamplitudes in higher dimensions

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Exact coefficients for higher dimensional operators with sixteen supersymmetries

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Exploring soft constraints on effective actions

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The one-loop \(H^{2}R^{3}\) and \(H^{2}(\nabla H)^{2}R\) terms in the effective action

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Normalization of type IIB D-instanton amplitudes

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Muti-instanton amplitudes in type IIB string theory

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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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A note on four-point functions of conformal operators in \(N=4\) super-Yang Mills.

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Four-point functions in \(N=4\) supersymmetric Yang-Mills theory at two loops.

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Simplifications of four-point functions in \(N=4\) supersymmetric Yang-Mills theory at two loops

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Three-loop four-point correlator in \(N=4\) SYM

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Anomalous dimensions in \(\mathcal N=4\) SYM theory at order \(g^4\)

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Non-planar data of \(\mathcal{N} = 4\) SYM

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Constructing the correlation function of four stress-tensor multiplets and the four-particle amplitude in \(\mathcal{N}=4\) SYM

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Hidden symmetry of four-point correlation functions and amplitudes in \(\mathcal{N}=4\) SYM

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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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Anti de Sitter space and holography

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

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

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Quantum gravity from conformal field theory

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Gravitational S-matrix from CFT dispersion relations

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Localization of gauge theory on a four-sphere and supersymmetric Wilson loops

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

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Seiberg-Witten prepotential from instanton counting

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

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Bonus symmetries of \(N=4\) super-Yang-Mills correlation functions via AdS duality

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Multi-instanton calculus and the AdS/CFT correspondence in \(N=4\) superconformal field theory

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The resurgence of the cusp anomalous dimension

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Resurgence of the dressing phase for \(\mathrm{AdS}_{5} {\times} S^{5}\)

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Writing CFT correlation functions as AdS scattering amplitudes

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On the modular structure of the genus-one type II superstring low energy expansion

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Modular graph functions

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Proof of a modular relation between 1-, 2- and 3-loop Feynman diagrams on a torus

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Poisson equation for the Mercedes diagram in string theory at genus one

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Identities between modular graph forms

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Poisson equation for the three-loop ladder diagram in string theory at genus one

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Proving relations between modular graph functions

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Simplifying the one-loop five graviton amplitude in type IIB string theory

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Hierarchy of modular graph identities

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Low momentum expansion of one loop amplitudes in heterotic string theory

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\(D^6 R^4\) curvature corrections, modular graph functions and Poincaré series

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Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings

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Modular graph functions and odd cuspidal functions. Fourier and Poincaré series

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Modular graph functions and asymptotic expansions of Poincaré series

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Absence of irreducible multiple zeta-values in melon modular graph functions

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Integral of two-loop modular graph functions

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Exploring transcendentality in superstring amplitudes

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All-order differential equations for one-loop closed-string integrals and modular graph forms

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From little string free energies towards modular graph functions

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Zero mode of the Fourier series of some modular graphs from Poincaré series

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Poisson equations for elliptic modular graph functions

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Erratum to: Relations between elliptic modular graphs

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Single-valued multiple zeta values in genus \(1\) superstring amplitudes

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A class of non-holomorphic modular forms. I

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A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS

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Fourier series of modular graph functions

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Genus-zero and genus-one string amplitudes and special multiple zeta values

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Massive deformations of Maass forms and Jacobi forms

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Basis decompositions and a Mathematica package for modular graph forms

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Zhang-Kawazumi invariants and superstring amplitudes

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A theta lift representation for the Kawazumi-Zhang and Faltings invariants of genus-two Riemann surfaces

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Higher genus modular graph functions, string invariants, and their exact asymptotics

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Asymptotics of the \(D^8 \mathcal{R}^4 \) genus-two string invariant

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Eigenvalue equation for genus two modular graphs

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Two-loop superstring five-point amplitudes. II: Low energy expansion and S-duality

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Poisson equation for genus two string invariants: a conjecture

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Motivic multiple zeta values and superstring amplitudes

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Single-valued multiple polylogarithms in one variable

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SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES

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Relations between elliptic multiple zeta values and a special derivation algebra

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Eine Verallgemeinerung der Abelschen Integrale

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On integrals attached to automorphic forms

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A class of non-holomorphic modular forms. III: real analytic cusp forms for \(\mathrm{SL}_2(\mathbb{Z})\)

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On some derivations of Lie algebras related to Galois representations

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Two-loop superstrings. I: Main formulas

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Two-loop superstrings. VI: Nonrenormalization theorems and the 4-point function.

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Two-loop superstrings and \(S\)-duality

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\(\mathrm{SL}(2, \mathbb{Z})\)-invariance and D-instanton contributions to the \(D^6 R^4\) interaction

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Differential equations in automorphic forms

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Identifiers

10.1088/1751-8121/ac9263

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5878302

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