Transcendentality violation in type IIB string amplitudes

Basu, Anirban

doi:10.1007/jhep02(2020)034

Cited by 3 publications

(2 citation statements)

References 50 publications

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“…that was shown to enjoy a natural extension of uniform transcendentality. In [85] it was argued that uniform transcendentality is violated starting from two loops.…”

Section: Basis Integrals Versus One-loop String Amplitudesmentioning

confidence: 99%

Generating series of all modular graph forms from iterated Eisenstein integrals

Gerken

Kleinschmidt

Schlotterer

2020

J. High Energ. Phys.

169

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We study generating series of torus integrals that contain all so-called modular graph forms relevant for massless one-loop closed-string amplitudes. By analysing the differential equation of the generating series we construct a solution for their low-energy expansion to all orders in the inverse string tension α. Our solution is expressed through initial data involving multiple zeta values and certain real-analytic functions of the modular parameter of the torus. These functions are built from real and imaginary parts of holomorphic iterated Eisenstein integrals and should be closely related to Brown's recent construction of real-analytic modular forms. We study the properties of our real-analytic objects in detail and give explicit examples to a fixed order in the α-expansion. In particular, our solution allows for a counting of linearly independent modular graph forms at a given weight, confirming previous partial results and giving predictions for higher, hitherto unexplored weights. It also sheds new light on the topic of uniform transcendentality of the α-expansion.

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“…that was shown to enjoy a natural extension of uniform transcendentality. In [85] it was argued that uniform transcendentality is violated starting from two loops.…”

Section: Basis Integrals Versus One-loop String Amplitudesmentioning

confidence: 99%

Generating series of all modular graph forms from iterated Eisenstein integrals

Gerken

Kleinschmidt

Schlotterer

2020

J. High Energ. Phys.

169

View full text Add to dashboard Cite

show abstract

“…Uniform transcendentality, familiar from dimensionally regularized Feynman integrals [345][346][347], enjoys a Type I and Type II superstring amplitude counterpart in their α ′ -expansions at tree-level [161,348] and at one loop [177,338,349]. However, uniform transcendentality of Type II superstrings may get challenged at higher α ′ -orders of one-loop amplitudes [350] and may be violated in two-loop amplitudes [351]. Moreover, tree-level amplitudes of Heterotic and bosonic strings [108] violate uniform transcendentality.…”

Section: Mathematical Structuresmentioning

confidence: 99%

Snowmass White Paper: String Perturbation Theory

Berkovits¹,

D’Hoker²,

Green³

et al. 2022

Preprint

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Non-planar corrections in orbifold/orientifold $$ \mathcal{N} $$ = 2 superconformal theories from localization

Beccaria

Korchemsky

Tseytlin

2023

J. High Energ. Phys.

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We study non-planar corrections in two special $$ \mathcal{N} $$ N = 2 superconformal SU(N) gauge theories that are planar-equivalent to $$ \mathcal{N} $$ N = 4 SYM theory: two-nodes quiver model with equal couplings and $$ \mathcal{N} $$ N = 2 vector multiplet coupled to two hypermultiplets in rank-2 symmetric and antisymmetric representations. We focus on two observables in these theories that admit representation in terms of localization matrix model: free energy on 4-sphere and the expectation value of half-BPS circular Wilson loop. We extend the methods developed in arXiv:2207.11475 to derive a systematical expansion of non-planar corrections to these observables at strong ’t Hooft coupling constant λ. We show that the leading non- planar corrections are given by a power series in λ3/2/N2 with rational coefficients. Sending N and the coupling constant λ to infinity with λ3/2/N2 kept fixed corresponds to the familiar double scaling limit in matrix models. We find that in this limit the observables in the two models are related in a remarkably simple way: the free energies differ by the factor of 2, whereas the Wilson loop expectation values coincide. Surprisingly, these relations hold only at strong coupling, they are not valid in the weak coupling regime. We also discuss a dual string theory interpretation of the leading corrections to the free energy in the double scaling limit suggesting their relation to curvature corrections in type IIB string effective action.

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Transcendentality violation in type IIB string amplitudes

Cited by 3 publications

References 50 publications

Generating series of all modular graph forms from iterated Eisenstein integrals

Generating series of all modular graph forms from iterated Eisenstein integrals

Snowmass White Paper: String Perturbation Theory

Non-planar corrections in orbifold/orientifold $$ \mathcal{N} $$ = 2 superconformal theories from localization

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