### Skapa referens, olika format (klipp och klistra)

**Harvard**

Fleig, P., Kleinschmidt, A. och Persson, D. (2014) *Fourier expansions of Kac-Moody Eisenstein series and degenerate Whittaker vectors*.

** BibTeX **

@article{

Fleig2014,

author={Fleig, Philipp and Kleinschmidt, Axel and Persson, Daniel},

title={Fourier expansions of Kac-Moody Eisenstein series and degenerate Whittaker vectors},

journal={Communications in Number Theory and Physics},

issn={1931-4523},

volume={8},

issue={1},

pages={41-100},

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.},

year={2014},

note={60},

}

** RefWorks **

RT Journal Article

SR Electronic

ID 192464

A1 Fleig, Philipp

A1 Kleinschmidt, Axel

A1 Persson, Daniel

T1 Fourier expansions of Kac-Moody Eisenstein series and degenerate Whittaker vectors

YR 2014

JF Communications in Number Theory and Physics

SN 1931-4523

VO 8

IS 1

SP 41

AB 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.

LA eng

DO 10.4310/CNTP.2014.v8.n1.a2

LK http://dx.doi.org/10.4310/CNTP.2014.v8.n1.a2

OL 30