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Journal Article

D6R4 curvature corrections, modular graph functions and Poincare series

MPS-Authors
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Ahlén,  Olof
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Kleinschmidt,  Axel
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1803.10250.pdf
(Preprint), 340KB

JHEP05(2018)194.pdf
(Publisher version), 558KB

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Citation

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.


Cite as: http://hdl.handle.net/21.11116/0000-0001-409E-5
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.