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The Number Theory of Superstring Amplitudes (Q3304294)

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Language	Label	Description	Also known as
English	The Number Theory of Superstring Amplitudes	scientific article

Statements

scholarly article

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The Number Theory of Superstring Amplitudes (English)

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Oliver Schlotterer

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Springer Proceedings in Mathematics & Statistics

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publication date

5 August 2020

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zbMATH Keywords

scattering amplitudes

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superstring theory

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multiple zeta values

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Hopf algebras

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-030-37031-2_4

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The Birth of String Theory

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The LHC string Hunter's companion

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The LHC string Hunter's companion (II): five-particle amplitudes and universal properties

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Direct production of lightest Regge resonances

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The hierarchy problem and new dimensions at a millimeter

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

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Superstring amplitudes and the associator

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Motivic multiple zeta values and superstring amplitudes

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Elliptic multiple zeta values and one-loop superstring amplitudes

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Analogues elliptiques des nombres multiz\'etas

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Elliptic associators

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Super-Poincaré covariant quantization of the superstring

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Complete \(N\)-point superstring disk amplitude I. Pure spinor computation

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Double shuffles of multiple polylogarithms at roots of unity

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Kontsevich’s integral for the Kauffman polynomial

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Amplitude for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>-Gluon Superstring Scattering

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On the field theory expansion of superstring five point amplitudes

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Differential equations, associators, and recurrences for amplitudes

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Complete \(N\)-point superstring disk amplitude II. Amplitude and hypergeometric function structure

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Polylogarithms, multiple zeta values and superstring amplitudes

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

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Irrationality of infinitely many values of the zeta function at odd integers.

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The multiple zeta value data mine

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Galois symmetries of fundamental groupoids and noncommutative geometry

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SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES

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On the decomposition of motivic multiple zeta values

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Multi-leg one-loop gravity amplitudes from gauge theory

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The momentum kernel of gauge and gravity theories

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Graphical functions and single-valued multiple polylogarithms

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Closed string amplitudes as single-valued open string amplitudes

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Relations between elliptic multiple zeta values and a special derivation algebra

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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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One-loop superstring six-point amplitudes and anomalies in pure spinor superspace

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Towards one-loop SYM amplitudes from the pure spinor BRST cohomology

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Elliptic double zeta values

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Iterated integrals of modular forms and noncommutative modular symbols

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On some derivations of Lie algebras related to Galois representations

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Universal KZB Equations: The Elliptic Case

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Notes on the universal elliptic KZB connection

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Effects of D-instantons

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

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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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Zhang-Kawazumi invariants and superstring amplitudes

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Gross-Schoen cycles and dualising sheaves

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-37031-2_4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3304294

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