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  D6R4 curvature corrections, modular graph functions and Poincare series

Ahlén, O., & Kleinschmidt, A. (2018). D6R4 curvature corrections, modular graph functions and Poincare series. Journal of High Energy Physics, 2018(05): 194. doi:10.1007/JHEP05(2018)194.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-409E-5 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-E7C0-0
Genre: Journal Article

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 Creators:
Ahlén, Olof1, Author              
Kleinschmidt, Axel2, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              
2Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th,Mathematics, Number Theory, math.NT
 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 $D^6R^4$ term that is known to satisfy an inhomogeneous Laplace equation. We exhibit a novel method for solving this equation in terms of a Poincar\'e 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.

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 Dates: 2018-03-272018
 Publication Status: Published in print
 Pages: 27 pages
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 Rev. Method: -
 Identifiers: arXiv: 1803.10250
URI: http://arxiv.org/abs/1803.10250
DOI: 10.1007/JHEP05(2018)194
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2018 (05) Sequence Number: 194 Start / End Page: - Identifier: -