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Tetrahedral modular graph functions (Q1706028)

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Language	Label	Description	Also known as
English	Tetrahedral modular graph functions	scientific article

Statements

scholarly article

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Tetrahedral modular graph functions (English)

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Axel Kleinschmidt

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Valentin Verschinin

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Journal of High Energy Physics

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publication date

19 March 2018

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full work available at URL

https://arxiv.org/abs/1706.01889

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zbMATH Keywords

M-theory

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superstrings and heterotic strings

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conformal field models in string theory

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supersymmetric effective theories

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Unity of superstring dualities.

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STRONG–WEAK COUPLING DUALITY IN FOUR-DIMENSIONAL STRING THEORY

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Effects of D-instantons

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On \(R^4\) threshold corrections in type IIB string theory and \((p,q)\)-string instantons

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Eisenstein series and string thresholds.

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\(R^4\) couplings and automorphic unipotent representations

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Eisenstein series for higher-rank groups and string theory amplitudes

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Supersymmetry constraints on the $\mathcal {R}^4$ multiplet in type IIB string theory on <i>T</i> <sup>2</sup>

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Small representations, string instantons, and Fourier modes of Eisenstein series

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Eisenstein series for infinite-dimensional U-duality groups

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The <i>D</i> <sup>6</sup> ℛ <sup>4</sup> term from three loop maximal supergravity

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The two \(\nabla^6R^4\) type invariants and their higher order generalisation

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Fourier expansions of Kac-Moody Eisenstein series and degenerate Whittaker vectors

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The closed-string 3-loop amplitude and S-duality

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Zhang-Kawazumi invariants and superstring amplitudes

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

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

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

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Motivic multiple zeta values and superstring amplitudes

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Polylogarithms, multiple zeta values and superstring amplitudes

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SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES

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

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Elliptic multiple zeta values and one-loop superstring amplitudes

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Relations between elliptic multiple zeta values and a special derivation algebra

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Single-valued multiple zeta values in genus \(1\) superstring amplitudes

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Modular graph functions

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Graphical functions and single-valued multiple polylogarithms

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Nested sums, expansion of transcendental functions, and multiscale multiloop integrals

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The elliptic dilogarithm for the sunset graph

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The iterated structure of the all-order result for the two-loop sunrise integral

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One-loop BPS amplitudes as BPS-state sums

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

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

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Poisson equation for the Mercedes diagram in string theory at genus one

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Non-BPS interactions from the type II one loop four graviton amplitude

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Poisson equation for the three-loop ladder diagram in string theory at genus one

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Proving relations between modular graph functions

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Hierarchy of modular graph identities

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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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Simplifying the one-loop five graviton amplitude in type IIB string theory

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

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Two-loop superstrings and \(S\)-duality

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The overall coefficient of the two-loop superstring amplitude using pure spinors

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A theta lift representation for the Kawazumi-Zhang and Faltings invariants of genus-two Riemann surfaces

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Infrared divergences and harmonic anomalies in the two-loop superstring effective action

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

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Higher spins \& strings

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Identifiers

zbMATH Open document ID

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10.1007/JHEP09(2017)155

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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:1706028

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