Modularity in $d > 2$ free conformal field theory (Q6671425)

scientific article; zbMATH DE number 7974901

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English	Modularity in $d > 2$ free conformal field theory	scientific article; zbMATH DE number 7974901

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instance of

scholarly article

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title

Modularity in $d > 2$ free conformal field theory (English)

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Journal of High Energy Physics

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publication date

27 January 2025

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zbMATH Keywords

field theories in higher dimensions

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scale and conformal symmetries

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AdS-CFT correspondence

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MaRDI profile type

Publication

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cites work

Operator content of two-dimensional conformally invariant theories

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The A-D-E classification of minimal and $A_ 1^{(1)}$ conformal invariant theories

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Fusion rules and modular transformations in 2D conformal field theory

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The (2 + 1)-dimensional black hole

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Microscopic origin of the Bekenstein-Hawking entropy

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Black hole entropy from near-horizon microstates

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Two dimensional gauge theories revisited

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Quantum gravity partition functions in three dimensions

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A universal inequality for CFT and quantum gravity

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

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Siegel modular forms and black hole entropy

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Universality of sparse $d > 2$ conformal field theory at large $N$

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Casimir energy and modularity in higher-dimensional conformal field theories

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Notes on massless scalar field partition functions, modular invariance and Eisenstein series

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Modular properties of massive scalar partition functions

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Black Hole Entropy from Conformal Field Theory in Any Dimension

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A universal formula for the density of states in theories with finite-group symmetry

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Universal asymptotics for high energy CFT data

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Detachable circles and temperature-inversion dualities for $\mathrm{CFT}_{d}$

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3d modularity

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Quantum modular $\widehat{Z}^G$-invariants

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Counting chiral primaries in $\mathcal N=1$, $d=4$ superconformal field theories

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An index for 4 dimensional super conformal theories

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Cardy formulae for SUSY theories in $d = 4$ and $d= 6$

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High-temperature asymptotics of supersymmetric partition functions

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Cardy formula for 4d SUSY theories and localization

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Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric $\mathrm{AdS}_{5}$ black holes

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Probing the EVH limit of supersymmetric AdS black holes

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Cardy-like asymptotics of the 4d $ \mathcal{N}=4 $ index and $\mathrm{AdS}_5$ black holes

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A 4d $\mathcal{N} = 1$ Cardy formula

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The asymptotic growth of states of the 4d $\mathcal{N}=1$ superconformal index

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Residues, modularity, and the Cardy limit of the 4d $\mathcal{N} = 4$ superconformal index

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The elliptic gamma function and $\text{SL}(3,\mathbb Z)\ltimes\mathbb Z^3$.

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Modularity of supersymmetric partition functions

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On a modular property of $ \mathcal{N}=2 $ superconformal theories in four dimensions

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Infinite chiral symmetry in four dimensions

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Vertex operator algebras, Higgs branches, and modular differential equations

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Modularity and 4D-2D spectral equivalences for large-$N$ gauge theories with adjoint matter

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Modular factorization of superconformal indices

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Factorisation and holomorphic blocks in 4d

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Holomorphic blocks in three dimensions

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BPS spectra and 3-manifold invariants

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Analytic continuation and supersymmetry

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Elliptic functions and temperature inversion symmetry on spheres

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Q4894948

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Q3801620

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Counting BPS operators in gauge theories: quivers, syzygies and plethystics

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An elliptic analogue of the multiple gamma function

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Multiple sine functions

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The modular properties and the integral representations of the multiple elliptic gamma functions

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Multiple elliptic gamma functions associated to cones

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Geometry of $(0,2)$ Landau-Ginzburg orbifolds.

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Elliptic genera of two-dimensional ${\mathcal{N} = 2}$ gauge theories with rank-one gauge groups

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Applications of the superconformal index for protected operators and $q$-hypergeometric identities to ${\mathcal N}=1$ dual theories

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Localization of 4d $\mathcal{N} = 1$ theories on $\mathbb{D}^2 \times \mathbb{T}^2$

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Superconformal partition functions and non-perturbative topological strings

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Perturbative partition function for a squashed S5

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Modified elliptic gamma functions and 6d superconformal indices

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Trisecting non-Lagrangian theories

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Magnificent four

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Gauge theories with 16 supersymmetries on spheres

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7D supersymmetric Yang-Mills on curved manifolds

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Seven-dimensional super Yang-Mills at negative coupling

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$\text{AdS}_3$ black holes and a stringy exclusion principle

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Supersymmetric phases of 4d $\mathcal{N} = 4$ SYM at large $N$

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$ SL (3, \mathbb{Z} )$ Modularity and new Cardy limits of the $\mathcal{N} = 4$ superconformal index

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Large $N$ universality of 4d $\mathcal{N} = 1$ superconformal index and AdS black holes

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A gerbe for the elliptic gamma function

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Thermodynamics of conformal fields in topologically non-trivial space-time backgrounds

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The geometry of supersymmetric partition functions

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Partition function of the eight-vertex lattice model

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On the theory of the multiple Gamma function.

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Identifiers

Mathematics Subject Classification ID

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10.1007/JHEP11(2024)023

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Sitelinks

Mathematics(1 entry)

mardi Publication:6671425

Modularity in \(d > 2\) free conformal field theory (Q6671425)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)