D6R4 curvature corrections, modular graph functions and Poincaré series View Full Text


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Article Info

DATE

2018-05

AUTHORS

Olof Ahlén, Axel Kleinschmidt

ABSTRACT

In this note we study the U-duality invariant coefficient functions of higher curvature corrections to the four-graviton scattering amplitude in type IIB string theory compactified on a torus. The main focus is on the D6R4 term that is known to satisfy an inhomogeneous Laplace equation. We exhibit a novel method for solving this equation in terms of a Poincaré series ansatz and recover known results in D = 10 dimensions and find new results in D < 10 dimensions. We also apply the method to modular graph functions as they arise from closed superstring one-loop amplitudes. More... »

PAGES

194

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/jhep05(2018)194

DOI

http://dx.doi.org/10.1007/jhep05(2018)194

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1104333323


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