Modular graph forms from equivariant iterated Eisenstein integrals (Q2694429)

scientific article; zbMATH DE number 7671440

Language	Label	Description	Also known as
English	Modular graph forms from equivariant iterated Eisenstein integrals	scientific article; zbMATH DE number 7671440

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instance of

scholarly article

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title

Modular graph forms from equivariant iterated Eisenstein integrals (English)

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Journal of High Energy Physics

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publication date

3 April 2023

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full work available at URL

https://arxiv.org/abs/2209.06772

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zbMATH Keywords

superstrings and heterotic strings

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differential and algebraic geometry

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describes a project that uses

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Motivic multiple zeta values and superstring amplitudes

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Superstring amplitudes and the associator

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A note on the Drinfeld associator for genus-zero superstring amplitudes in twisted de Rham theory

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Closed superstring amplitudes, single-valued multiple zeta values and the Deligne associator

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Closed string amplitudes as single-valued open string amplitudes

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Closed strings as single-valued open strings: a genus-zero derivation

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Single-valued integration and superstring amplitudes in genus zero

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Analogues elliptiques des nombres multiz\'etas

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Elliptic multiple zeta values and one-loop superstring amplitudes

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Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes

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

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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

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Identities between modular graph forms

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The SAGEX review on scattering amplitudes Chapter 10: Selected topics on modular covariance of type IIB string amplitudes and their N=4 supersymmetric Yang–Mills duals

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

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Hierarchy of modular graph identities

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Proving relations between modular graph functions

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Holomorphic subgraph reduction of higher-point modular graph forms

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

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Fourier series of modular graph functions

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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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A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS

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Single-valued multiple polylogarithms in one variable

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Period functions associated to real-analytic modular forms

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Laplace-eigenvalue equations for length three modular iterated integrals

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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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Q3977509

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Q4779757

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On some derivations of Lie algebras related to Galois representations

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Q4408044

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Q5488560

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On the derivation representation of the fundamental Lie algebra of mixed elliptic motives

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UNIVERSAL MIXED ELLIPTIC MOTIVES

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ZETA ELEMENTS IN DEPTH 3 AND THE FUNDAMENTAL LIE ALGEBRA OF THE INFINITESIMAL TATE CURVE

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Basis decompositions and a Mathematica package for modular graph forms

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Q4952461

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On the algebraic structure of iterated integrals of quasimodular forms

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Graphical functions and single-valued multiple polylogarithms

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SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES

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

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Relations between elliptic multiple zeta values and a special derivation algebra

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Towards closed strings as single-valued open strings at genus one

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Galois symmetries of fundamental groupoids and noncommutative geometry

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Mixed Tate motives over \(\mathbb{Z}\)

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The multiple zeta value data mine

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

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Towards single-valued polylogarithms in two variables for the seven-point remainder function in multi-Regge kinematics

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Multi-Regge kinematics and the moduli space of Riemann spheres with marked points

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Eine Verallgemeinerung der Abelschen Integrale

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On integrals attached to automorphic forms

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Modular iterated integrals associated with cusp forms

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Asymptotics of the \(D^8 \mathcal{R}^4 \) genus-two string invariant

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The Bloch-Wigner-Ramakrishnan polylogarithm function

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Single-valued integration and double copy

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Notes on motivic periods

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Higher genus modular graph functions, string invariants, and their exact asymptotics

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Identities among higher genus modular graph tensors

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Eigenvalue equation for genus two modular graphs

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Poisson equation for genus two string invariants: a conjecture

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Identifiers

DOI

10.1007/JHEP12(2022)162

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Mathematics Subject Classification ID

81-XX

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zbMATH DE Number

7671440

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Sitelinks

Mathematics(1 entry)

mardi Publication:2694429