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

DOI10.1088/1751-8121/aaea14zbMath1422.81155arXiv1808.00713OpenAlexW3106219952WikidataQ128616610 ScholiaQ128616610MaRDI QIDQ5235229

Oliver Schlotterer, Oliver Schnetz

Publication date: 7 October 2019

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.00713

zbMATH Keywords

multiple zeta valuesnumber theorystring amplitudes

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) (2)-body potential quantum scattering theory (81U05) Transcendence (general theory) (11J81) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (24)

Towards closed strings as single-valued open strings at genus one ⋮ Single-valued integration and superstring amplitudes in genus zero ⋮ All-order differential equations for one-loop closed-string integrals and modular graph forms ⋮ Color-kinematics dual representations of one-loop matrix elements in the open-superstring effective action ⋮ The AdS Virasoro-Shapiro amplitude ⋮ One-loop open-string integrals from differential equations: all-order \(\alpha '\)-expansions at \(n\) points ⋮ Tree-level amplitudes from the pure spinor superstring ⋮ AdS Virasoro-Shapiro from single-valued periods ⋮ Properties of infinite product amplitudes: Veneziano, Virasoro, and Coon ⋮ Modular graph forms from equivariant iterated Eisenstein integrals ⋮ Generating series of all modular graph forms from iterated Eisenstein integrals ⋮ Elliptic Feynman integrals and pure functions ⋮ Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings ⋮ Wilson loop of the heterotic sigma model and the sv-map ⋮ Multiple zeta values in deformation quantization ⋮ Stringy canonical forms ⋮ Superstring amplitudes, unitarily, and Hankel determinants of multiple zeta values ⋮ Coaction and double-copy properties of configuration-space integrals at genus zero ⋮ 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 ⋮ String correlators: recursive expansion, integration-by-parts and scattering equations ⋮ LAURICELLA HYPERGEOMETRIC FUNCTIONS, UNIPOTENT FUNDAMENTAL GROUPS OF THE PUNCTURED RIEMANN SPHERE, AND THEIR MOTIVIC COACTIONS ⋮ The SAGEX review on scattering amplitudes Chapter 2: An invitation to color-kinematics duality and the double copy

Uses Software

• HyperlogProcedures

Cites Work

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• Differential equations, associators, and recurrences for amplitudes
• Angles, scales and parametric renormalization
• Zhang-Kawazumi invariants and superstring amplitudes
• Towards single-valued polylogarithms in two variables for the seven-point remainder function in multi-Regge kinematics
• The momentum kernel of gauge and gravity theories
• Abelian \(Z\)-theory: NLSM amplitudes and \(\alpha\)'-corrections from the open string
• Superstring amplitudes and the associator
• On motives associated to graph polynomials
• Unity of superstring dualities.
• String theory dynamics in various dimensions
• Multi-leg one-loop gravity amplitudes from gauge theory
• Heterotic and bosonic string amplitudes via field theory
• Sv-map between type I and heterotic sigma models
• Universality in string interactions
• Amplitude relations in heterotic string theory and Einstein-Yang-Mills
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• Non-abelian \(Z\)-theory: Berends-Giele recursion for the \(\alpha^{'}\)-expansion of disk integrals
• Combinatorics and topology of Kawai-Lewellen-Tye relations
• Higher genus modular graph functions, string invariants, and their exact asymptotics
• Modular graph functions
• Notes on motivic periods
• Single-valued multiple polylogarithms in one variable
• Evidence for heterotic - type I string duality
• A class of non-holomorphic modular forms. I
• Graphical functions and single-valued multiple polylogarithms
• Single-valued multiple zeta values in genus \(1\) superstring amplitudes
• Complete \(N\)-point superstring disk amplitude I. Pure spinor computation
• Complete \(N\)-point superstring disk amplitude II. Amplitude and hypergeometric function structure
• On the field theory expansion of superstring five point amplitudes
• Closed string amplitudes as single-valued open string amplitudes
• Elliptic multiple zeta values and one-loop superstring amplitudes
• On the modular structure of the genus-one type II superstring low energy expansion
• Polylogarithms, multiple zeta values and superstring amplitudes
• Motivic multiple zeta values and superstring amplitudes
• On the decomposition of motivic multiple zeta values
• Analogues elliptiques des nombres multiz\'etas
• Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$
• Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes
• Intersection theory for twisted cohomologies and twisted Riemann’s period relations I
• Closed superstring amplitudes, single-valued multiple zeta values and the Deligne associator
• SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES
• Algebras of Iterated Path Integrals and Fundamental Groups

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