Relations between elliptic multiple zeta values and a special derivation algebra
From MaRDI portal
Publication:3186566
DOI10.1088/1751-8113/49/15/155203zbMath1354.81045arXiv1507.02254OpenAlexW3100836390MaRDI QIDQ3186566
Nils Matthes, Johannes Broedel, Oliver Schlotterer
Publication date: 10 August 2016
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.02254
String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Elliptic functions and integrals (33E05) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
Related Items
Towards closed strings as single-valued open strings at genus one ⋮ Hierarchy of modular graph identities ⋮ Elliptic multiple zeta values and one-loop superstring amplitudes ⋮ Elliptic double zeta values ⋮ Two dialects for KZB equations: generating one-loop open-string integrals ⋮ Non-abelian \(Z\)-theory: Berends-Giele recursion for the \(\alpha^{'}\)-expansion of disk integrals ⋮ All-order differential equations for one-loop closed-string integrals and modular graph forms ⋮ Monodromy relations in higher-loop string amplitudes ⋮ An elliptic generalization of multiple polylogarithms ⋮ Two-loop diagrams in nonrelativistic QCD with elliptics ⋮ Algorithms and tools for iterated Eisenstein integrals ⋮ Little string instanton partition functions and scalar propagators ⋮ Modular graph functions and odd cuspidal functions. Fourier and Poincaré series ⋮ One-loop open-string integrals from differential equations: all-order \(\alpha '\)-expansions at \(n\) points ⋮ Symmetries in A-type little string theories. II: Eisenstein series and generating functions of multiple divisor sums ⋮ From little string free energies towards modular graph functions ⋮ Loop-by-loop differential equations for dual (elliptic) Feynman integrals ⋮ Manifestly dual-conformal loop integration ⋮ Open-string integrals with multiple unintegrated punctures at genus one ⋮ To the cusp and back: resurgent analysis for modular graph functions ⋮ Numerical evaluation of iterated integrals related to elliptic Feynman integrals ⋮ Modular graph forms from equivariant iterated Eisenstein integrals ⋮ Tetrahedral modular graph functions ⋮ Generating series of all modular graph forms from iterated Eisenstein integrals ⋮ The unequal mass sunrise integral expressed through iterated integrals on \(\overline{\mathcal{M}}_{1,3}\) ⋮ Modular transformations of elliptic Feynman integrals ⋮ Collider physics at the precision frontier ⋮ Elliptic Feynman integrals and pure functions ⋮ Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings ⋮ From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop ⋮ The Number Theory of Superstring Amplitudes ⋮ Overview on Elliptic Multiple Zeta Values ⋮ Identities between modular graph forms ⋮ The meta-abelian elliptic KZB associator and periods of Eisenstein series ⋮ Elliptic modular graph forms. I: Identities and generating series ⋮ Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes ⋮ Diagrammatic expansion of non-perturbative little string free energies ⋮ Cuts and isogenies ⋮ Exploring transcendentality in superstring amplitudes ⋮ Meromorphic modular forms and the three-loop equal-mass banana integral ⋮ Poincaré series for modular graph forms at depth two. I: Seeds and Laplace systems ⋮ Poincaré series for modular graph forms at depth two. II: Iterated integrals of cusp forms ⋮ On epsilon factorized differential equations for elliptic Feynman integrals ⋮ A Geometrical Framework for Amplitude Recursions: Bridging Between Trees and Loops ⋮ Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations ⋮ The SAGEX review on scattering amplitudes Chapter 3: Mathematical structures in Feynman integrals ⋮ 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
