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• W2953363314 abstract "Motivated by string theory scattering amplitudes that are invariant under a discrete U-duality, we study Fourier coefficients of Eisenstein series on Kac-Moody groups. In particular, we analyse the Eisenstein series on $E_9(R)$, $E_{10}(R)$ and $E_{11}(R)$ corresponding to certain degenerate principal series at the values s=3/2 and s=5/2 that were studied in 1204.3043. We show that these Eisenstein series have very simple Fourier coefficients as expected for their role as supersymmetric contributions to the higher derivative couplings $R^4$ and $partial^{4} R^4$ coming from 1/2-BPS and 1/4-BPS instantons, respectively. This suggests that there exist minimal and next-to-minimal unipotent automorphic representations of the associated Kac-Moody groups to which these special Eisenstein series are attached. We also provide complete explicit expressions for degenerate Whittaker vectors of minimal Eisenstein series on $E_6(R)$, $E_7(R)$ and $E_8(R)$ that have not appeared in the literature before." @default.
• W2953363314 created "2019-06-27" @default.
• W2953363314 creator A5018302442 @default.
• W2953363314 creator A5074515368 @default.
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• W2953363314 date "2013-12-12" @default.
• W2953363314 modified "2023-09-27" @default.
• W2953363314 title "Fourier expansions of Kac-Moody Eisenstein series and degenerate Whittaker vectors" @default.
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• W2953363314 hasPublicationYear "2013" @default.
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