Poincaré series for modular graph forms at depth two. II: Iterated integrals of cusp forms
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Publication:2087932
DOI10.1007/JHEP01(2022)134WikidataQ114233664 ScholiaQ114233664MaRDI QIDQ2087932
Daniele Dorigoni, Oliver Schlotterer, Axel Kleinschmidt
Publication date: 21 October 2022
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.05018
conformal field theorystring dualitysuperstrings and heterotic stringsdifferential and algebraic geometry
Related Items (4)
Little string instanton partition functions and scalar propagators ⋮ Scalar‐valued depth two Eichler–Shimura integrals of cusp forms ⋮ Two string theory flavours of generalised Eisenstein series ⋮ To the cusp and back: resurgent analysis for modular graph functions
Uses Software
Cites Work
- Experimental evidence for Maeda's conjecture on modular forms
- \(\mathrm{SL}(2, \mathbb{Z})\)-invariance and D-instanton contributions to the \(D^6 R^4\) interaction
- Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings
- Holomorphic subgraph reduction of higher-point modular graph forms
- From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop
- Multiparticle one-loop amplitudes and S-duality in closed superstring theory
- Eine Verallgemeinerung der Abelschen Integrale
- On integrals attached to automorphic forms
- Zero mode of the Fourier series of some modular graphs from Poincaré series
- Periods of modular forms and Jacobi theta functions
- Proof of a modular relation between 1-, 2- and 3-loop Feynman diagrams on a torus
- Hierarchy of modular graph identities
- \(D^6 R^4\) curvature corrections, modular graph functions and Poincaré series
- On the algebraic structure of iterated integrals of quasimodular forms
- Tetrahedral modular graph functions
- Low momentum expansion of one loop amplitudes in heterotic string theory
- Differential equations in automorphic forms
- Identities between modular graph forms
- Modular graph functions
- Fourier series of modular graph functions
- La conjecture de Weil. I
- On some derivations of Lie algebras related to Galois representations
- Erratum to: Relations between elliptic modular graphs
- Diagrammatic expansion of non-perturbative little string free energies
- Massive deformations of Maass forms and Jacobi forms
- All-order differential equations for one-loop closed-string integrals and modular graph forms
- From little string free energies towards modular graph functions
- Generating series of all modular graph forms from iterated Eisenstein integrals
- Resurgent expansion of Lambert series and iterated Eisenstein integrals
- Poisson equations for elliptic modular graph functions
- Absence of irreducible multiple zeta-values in melon modular graph functions
- Genus-zero and genus-one string amplitudes and special multiple zeta values
- Integral of two-loop modular graph functions
- Exploring transcendentality in superstring amplitudes
- A class of non-holomorphic modular forms. III: real analytic cusp forms for \(\mathrm{SL}_2(\mathbb{Z})\)
- Modular graph functions and asymptotic expansions of Poincaré series
- Single-valued multiple zeta values in genus \(1\) superstring amplitudes
- Modular graph functions and odd cuspidal functions. Fourier and Poincaré series
- On the modular structure of the genus-one type II superstring low energy expansion
- Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. I
- Poisson equation for the Mercedes diagram in string theory at genus one
- Analogues elliptiques des nombres multiz\'etas
- Proving relations between modular graph functions
- Poisson equation for the three-loop ladder diagram in string theory at genus one
- Perioden von Modulformen einer Variabler und Gruppencohomologie, I
- Relations between elliptic multiple zeta values and a special derivation algebra
- A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS
- PERIODS OF PARABOLIC FORMS AND $ p$-ADIC HECKE SERIES
- Eisenstein Series and Automorphic Representations
- Simplifying the one-loop five graviton amplitude in type IIB string theory
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