Towards closed strings as single-valued open strings at genus one (Q5049507)

scientific article; zbMATH DE number 7615585

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English	Towards closed strings as single-valued open strings at genus one	scientific article; zbMATH DE number 7615585

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instance of

scholarly article

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title

Towards closed strings as single-valued open strings at genus one (English)

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Journal of Physics A: Mathematical and Theoretical

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publication date

11 November 2022

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full work available at URL

https://arxiv.org/abs/2010.10558

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zbMATH Keywords

string amplitudes

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modular forms

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elliptic integrals

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describes a project that uses

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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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Modular graph functions

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Identities between modular graph forms

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Single-valued multiple zeta values in genus $1$ superstring amplitudes

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

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Relations between elliptic multiple zeta values and a special derivation algebra

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Generating series of all modular graph forms from iterated Eisenstein integrals

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The elliptic dilogarithm for the sunset graph

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A Feynman integral via higher normal functions

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Feynman integrals and iterated integrals of modular forms

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Iterated elliptic and hypergeometric integrals for Feynman diagrams

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An elliptic generalization of multiple polylogarithms

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The $\varepsilon$-form of the differential equations for Feynman integrals in the elliptic case

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The unequal mass sunrise integral expressed through iterated integrals on $\overline{\mathcal{M}}_{1,3}$

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Algorithms and tools for iterated Eisenstein integrals

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Three-loop contributions to the $\rho$ parameter and iterated integrals of modular forms

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Motivic multiple zeta values and superstring amplitudes

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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 MOTIVIC PERIODS AND MULTIPLE ZETA VALUES

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Notes on motivic periods

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Graphical functions and single-valued multiple polylogarithms

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Single-valued multiple polylogarithms in one variable

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

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Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings

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Fourier series of modular graph functions

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

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

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Q3351501

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

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

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Basis decompositions and a Mathematica package for modular graph forms

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Complete $N$-point superstring disk amplitude I. Pure spinor computation

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Heterotic and bosonic string amplitudes via field theory

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Polylogarithms, multiple zeta values and superstring amplitudes

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Q4550585

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Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$

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Non-abelian $Z$-theory: Berends-Giele recursion for the $\alpha^{'}$-expansion of disk integrals

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Mixed Tate motives over $\mathbb{Z}$

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Current algebra on the torus

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Towards the n-point one-loop superstring amplitude. III: One-loop correlators and their double-copy structure

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On some derivations of Lie algebras related to Galois representations

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Q5755505

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

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Hierarchy of modular graph identities

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

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Proving relations between modular graph functions

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On the algebraic structure of iterated integrals of quasimodular forms

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Towards the $n$-point one-loop superstring amplitude. II: Worldsheet functions and their duality to kinematics

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The multiple zeta value data mine

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The one-loop $H^{2}R^{3}$ and $H^{2}(\nabla H)^{2}R$ terms in the effective action

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Multiparticle one-loop amplitudes and S-duality in closed superstring theory

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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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Low momentum expansion of one loop amplitudes in heterotic string theory

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Exploring transcendentality in superstring amplitudes

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A new look at one-loop integrals in string theory

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One-loop BPS amplitudes as BPS-state sums

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$D^6 R^4$ curvature corrections, modular graph functions and Poincaré series

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Modular graph functions and asymptotic expansions of Poincaré series

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Integral of two-loop modular graph functions

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Resurgent expansion of Lambert series and iterated Eisenstein integrals

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Open strings

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Gauge threshold corrections in intersecting brane world models

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Monodromy relations in higher-loop string amplitudes

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Functional relations for elliptic polylogarithms

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One-loop monodromy relations on single cuts

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Loop amplitudes monodromy relations and color-kinematics duality

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Monodromy relations from twisted homology

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Conformal scalar fields and chiral splitting on super Riemann surfaces

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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 superstrings. VI: Nonrenormalization theorems and the 4-point function.

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Two-loop superstring five-point amplitudes. I: Construction via chiral splitting and pure spinors

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New BCJ representations for one-loop amplitudes in gauge theories and gravity

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Identifiers

zbMATH Open document ID

1499.81080

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Mathematics Subject Classification ID

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10.1088/1751-8121/ABE58B

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Sitelinks

Mathematics(1 entry)

mardi Publication:5049507