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

DOI10.1007/JHEP01(2019)155zbMath1409.83178arXiv1803.00527OpenAlexW3106120288WikidataQ128549781 ScholiaQ128549781MaRDI QIDQ667233

Federico Zerbini, Johannes Broedel, Oliver Schlotterer

Publication date: 12 March 2019

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.00527

zbMATH Keywords

gauge-gravity correspondencesuperstrings and heterotic strings

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (41)

Zero mode of the Fourier series of some modular graphs from Poincaré series ⋮ Towards closed strings as single-valued open strings at genus one ⋮ Supergravity limit of genus two modular graph functions in the worldline formalism ⋮ Functional relations for elliptic polylogarithms ⋮ Two dialects for KZB equations: generating one-loop open-string integrals ⋮ Laplace-eigenvalue equations for length three modular iterated integrals ⋮ All-order differential equations for one-loop closed-string integrals and modular graph forms ⋮ Algorithms and tools for iterated Eisenstein integrals ⋮ 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 ⋮ Open-string integrals with multiple unintegrated punctures at genus one ⋮ Two string theory flavours of generalised Eisenstein series ⋮ To the cusp and back: resurgent analysis for modular graph functions ⋮ Tree-level amplitudes from the pure spinor superstring ⋮ Numerical evaluation of iterated integrals related to elliptic Feynman integrals ⋮ Algebraic identities between families of (elliptic) modular graphs ⋮ Modular graph forms from equivariant iterated Eisenstein integrals ⋮ Generating series of all modular graph forms from iterated Eisenstein integrals ⋮ The unequal mass sunrise integral expressed through iterated integrals on \(\overline{\mathcal{M}}_{1,3}\) ⋮ Eigenvalue equation for genus two modular graphs ⋮ 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 ⋮ Holomorphic subgraph reduction of higher-point modular graph forms ⋮ Meromorphic continuation of Koba-Nielsen string amplitudes ⋮ Supersymmetric phases of 4d \(\mathcal{N} = 4\) SYM at large \(N\) ⋮ Elliptic modular graph forms. I: Identities and generating series ⋮ On genus-one string amplitudes on \(\mathrm{AdS}_5 \times S^5\) ⋮ Diagrammatic expansion of non-perturbative little string free energies ⋮ Monodromy relations from twisted homology ⋮ Integral of two-loop modular graph functions ⋮ Exploring transcendentality in superstring amplitudes ⋮ One-loop matrix elements of effective superstring interactions: \(\alpha^\prime\)-expanding loop integrands ⋮ Integrating three-loop modular graph functions and transcendentality of string amplitudes ⋮ 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 ⋮ Basis decompositions and a Mathematica package for modular graph forms

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