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Discreteness and integrality in conformal field theory (Q2025968)

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Language	Label	Description	Also known as
English	Discreteness and integrality in conformal field theory	scientific article

Statements

scholarly article

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Discreteness and integrality in conformal field theory (English)

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Eric Perlmutter

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Journal of High Energy Physics

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publication date

17 May 2021

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full work available at URL

https://arxiv.org/abs/2008.02190

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zbMATH Keywords

conformal field theory

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AdS-CFT correspondence

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MaRDI profile type

MaRDI publication profile

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A universal inequality for CFT and quantum gravity

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Constraints on 2d CFT partition functions

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Poincaré series, 3D gravity and CFT spectroscopy

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Modular bootstrap revisited

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A Cardy formula for three-point coefficients or how the black hole got its spots

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Bootstrapping the spectral function: on the uniqueness of Liouville and the universality of BTZ

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Modular constraints on conformal field theories with currents

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Modular constraints on superconformal field theories

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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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Sphere packing and quantum gravity

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Aspects of the S transformation bootstrap

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Universal dynamics of heavy operators in \(\mathrm{CFT}_2\)

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Free partition functions and an averaged holographic duality

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High-dimensional sphere packing and the modular bootstrap

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Pure gravity and conical defects

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Modular differential equations for torus one-point functions

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On 2d conformal field theories with two characters

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Cosets of meromorphic CFTs and modular differential equations

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Towards a classification of two-character rational conformal field theories

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Hecke relations in rational conformal field theory

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Rational CFT with three characters: the quasi-character approach

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On modular forms arising from a differential equation of hypergeometric type

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Vector-valued modular forms and Poincaré series

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Vector-valued modular functions for the modular group and the hypergeometric equation

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Structure of the module of vector-valued modular forms

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Fourier coefficients of three-dimensional vector-valued modular forms

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Irreducible vector-valued modular forms of dimension less than six

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Modular forms and second order ordinary differential equations: applications to vertex operator algebras

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Fourier Coefficients of Vector-valued Modular Forms of Dimension 2

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Hypergeometric series, modular linear differential equations and vector-valued modular forms

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The third order modular linear differential equations

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Constructions of vector-valued modular forms of rank four and level one

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Vertex operator algebras of rank 2: the Mathur-Mukhi-Sen theorem revisited

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Classification of some vertex operator algebras of rank 3

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The Theory of Vector-Valued Modular Forms for the Modular Group

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The random-bond Ising model in 2.01 and 3 dimensions

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On non-supersymmetric conformal manifolds: field theory and holography

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Conformal manifolds: ODEs from OPEs

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Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions

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Averaging over Narain moduli space

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Universal spectrum of 2d conformal field theory in the large \(c\) limit

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On the Fourier coefficients of 2-dimensional vector-valued modular forms

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Three-dimensional imprimitive representations of the modular group and their associated modular forms

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Logarithmic vector-valued modular forms

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The dimension of spaces of vector-valued modular forms of integer weight

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Conformal field theory

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Rényi entropies, the analytic bootstrap, and 3D quantum gravity at higher genus

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Looking for a bulk point

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Constraints on higher spin \(\mathrm{CFT}_{2}\)

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Recursive representation of the torus 1-point conformal block

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Various semiclassical limits of torus conformal blocks

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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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High-temperature asymptotics of supersymmetric partition functions

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Superconformal surfaces in four dimensions

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Minisuperspace limit of the \(AdS_3\) WZNW model

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The most irrational rational theories

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

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Modular graph functions

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Identities between modular graph forms

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Hierarchy of modular graph identities

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Fourier series of modular graph functions

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Holomorphic subgraph reduction of higher-point modular graph forms

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

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

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Typicality and thermality in 2D CFT

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2D CFT partition functions at late times

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On information loss in \(\mathrm{AdS}_{3 }\mathrm{CFT}_{2}\)

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Rademacher expansions and the spectrum of 2d CFT

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Modular properties of characters of the \(W_3\) algebra

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Gravitational dual of averaged free CFT's over the Narain lattice

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\( \mathrm{AdS}_3\) wormholes from a modular bootstrap

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Small black holes and near-extremal CFTs

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The path integral of 3D gravity near extremality; \textit{or}, JT gravity with defects as a matrix integral

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The analytic bootstrap and AdS superhorizon locality

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Quantum Regge trajectories and the Virasoro analytic bootstrap

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Split states, entropy enigmas, holes and halos

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Moulting black holes

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A conformal block Farey tail

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Identifiers

zbMATH Open document ID

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10.1007/JHEP02(2021)064

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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:2025968

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