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Elliptic modular graph forms. I: Identities and generating series (Q2028325)

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Language	Label	Description	Also known as
English	Elliptic modular graph forms. I: Identities and generating series	scientific article

Statements

scholarly article

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Elliptic modular graph forms. I: Identities and generating series (English)

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zbMATH Open document ID

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10.1007/JHEP03(2021)151

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Axel Kleinschmidt

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Oliver Schlotterer

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Journal of High Energy Physics

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publication date

31 May 2021

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full work available at URL

https://arxiv.org/abs/2012.09198

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

conformal field model

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describes a project that uses

ModularGraphForms

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MaRDI profile type

MaRDI publication profile

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

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

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

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Modular graph functions

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Identities between modular graph forms

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Holomorphic subgraph reduction of higher-point modular graph forms

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Proving relations between modular graph functions

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Hierarchy of modular graph identities

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

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Tetrahedral modular graph functions

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

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Generating series of all modular graph forms from iterated Eisenstein integrals

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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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The Bloch-Wigner-Ramakrishnan polylogarithm function

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

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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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Two dialects for KZB equations: generating one-loop open-string integrals

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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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Theta functions on Riemann surfaces

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Elliptic multiple zeta values and one-loop superstring amplitudes

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

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Functional relations for elliptic polylogarithms

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Universal KZB Equations: The Elliptic Case

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Elliptic associators

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Notes on the universal elliptic KZB connection

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One-loop open-string integrals from differential equations: all-order \(\alpha '\)-expansions at \(n\) points

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On some derivations of Lie algebras related to Galois representations

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Relations between elliptic multiple zeta values and a special derivation algebra

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

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

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mardi Publication:2028325

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