Supergravity divergences, supersymmetry and automorphic forms

Bossard, Guillaume; Kleinschmidt, Axel

doi:10.1007/JHEP08(2015)102

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Supergravity divergences, supersymmetry and automorphic forms

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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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1506.00657.pdf
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JHEP08(2015)102.pdf
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引用

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

引用: https://hdl.handle.net/11858/00-001M-0000-0027-83A4-6

要旨

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.