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Journal Article

Supergravity divergences, supersymmetry and automorphic forms

MPS-Authors
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Bossard,  Guillaume
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)

1506.00657.pdf
(Preprint), 456KB

JHEP08(2015)102.pdf
(Any fulltext), 836KB

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Citation

Bossard, G., & Kleinschmidt, A. (2015). Supergravity divergences, supersymmetry and automorphic forms. Journal of high energy physics: JHEP, 2015(08): 102. doi:10.1007/JHEP08(2015)102.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0027-83A4-6
Abstract
We investigate the occurrence of divergences in maximal supergravity in various dimensions from the point of view of supersymmetry constraints on the U-duality invariant threshold functions defining the higher derivative couplings in the effective action. Our method makes use of tensorial differential equations that constrain these couplings. We study in detail the Fourier modes and wave-front sets of the associated automorphic functions and find that they are always associated to special nilpotent orbits.