To the cusp and back: resurgent analysis for modular graph functions (Q2686354)

scientific article; zbMATH DE number 7657371

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English	To the cusp and back: resurgent analysis for modular graph functions	scientific article; zbMATH DE number 7657371

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instance of

scholarly article

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title

To the cusp and back: resurgent analysis for modular graph functions (English)

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Journal of High Energy Physics

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publication date

27 February 2023

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full work available at URL

https://arxiv.org/abs/2208.14087

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zbMATH Keywords

nonperturbative effects

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scattering amplitudes

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global symmetries

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describes a project that uses

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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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Identities between modular graph forms

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Multiparticle one-loop amplitudes and S-duality in closed superstring theory

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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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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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Tetrahedral modular graph functions

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Low momentum expansion of one loop amplitudes in heterotic string theory

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From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop

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

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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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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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Generating series of all modular graph forms from iterated Eisenstein integrals

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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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Diagrammatic expansion of non-perturbative little string free energies

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Poincaré series for modular graph forms at depth two. I: Seeds and Laplace systems

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Poincaré series for modular graph forms at depth two. II: Iterated integrals of cusp forms

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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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Laplace-eigenvalue equations for length three modular iterated integrals

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Basis decompositions and a Mathematica package for modular graph forms

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Evaluation of the multiple zeta values \(\zeta(2,\ldots,2,3,2,\ldots,2)\)

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Q4790111

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Eisenstein Series and Automorphic Representations

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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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An introduction to resurgence, trans-series and alien calculus

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Resurgent expansion of Lambert series and iterated Eisenstein integrals

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Deconstructing zero: resurgence, supersymmetry and complex saddles

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Cheshire cat resurgence, self-resurgence and quasi-exact solvable systems

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Picard-Lefschetz decomposition and Cheshire Cat resurgence in 3D \(\mathcal{N} = 2\) field theories

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Q4097001

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SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES

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Integrating three-loop modular graph functions and transcendentality of string amplitudes

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Relations between elliptic multiple zeta values and a special derivation algebra

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

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Differential equations in automorphic forms

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Effects of D-instantons

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The two \(\nabla^6R^4\) type invariants and their higher order generalisation

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

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Whittaker Fourier type solutions to differential equations arising from string theory

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

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\(\mathrm{AdS}_4/\mathrm{CFT}_3\) from weak to strong string coupling

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

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

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Writing CFT correlation functions as AdS scattering amplitudes

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Genus-one string amplitudes from conformal field theory

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

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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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One-loop string corrections to AdS amplitudes from CFT

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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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Elliptic modular graph forms. I: Identities and generating series

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Resurgence of the Euler-Maclaurin summation formula

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Identifiers

DOI

10.1007/JHEP11(2022)048

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Mathematics Subject Classification ID

81-XX

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zbMATH DE Number

7657371

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Sitelinks

Mathematics(1 entry)

mardi Publication:2686354