Fourier expansions of Kac-Moody Eisenstein series and degenerate Whittaker vectors
type: Item
instance of: scholarly article
title: Fourier expansions of Kac-Moody Eisenstein series and degenerate Whittaker vectors
zbMATH Open document ID: 1304.81134
author: Philipp Fleig
author: Daniel Persson
author: Axel Kleinschmidt
published in: Communications in Number Theory and Physics
publication date: 2014-11-12T00:00:00Z
full work available at URL: https://arxiv.org/abs/1312.3643
review text: This article analyses the Fourier coefficients of automorphic forms on infinite-dimensional Kac-Moody groups. The motivations for this study came from the analysis of scattering amplitudes in physics, i.e. modern string theory. This background is mentioned but not used. Applications in physics are not provided, though automorphic forms appear naturally when supergravity is formulated on a 10-dimensional spacetime manifold with a large moduli space of solutions. From a physics perspective the Fourier coefficients of automorphic forms describe quantum corrections to certain observables. All this seems to be of major interest to mathematicians, and so the authors study Fourier coefficients of Eisenstein series on Kac-Moody groups. The subject is also related to Langlands program and conformal field theory. The literature related to the subject is enormous. The list of references cites 90 articles.
reviewed by: Gert Roepstorff
Mathematics Subject Classification ID: 81T30
Mathematics Subject Classification ID: 81R10
Mathematics Subject Classification ID: 81U05
Mathematics Subject Classification ID: 11M36
Mathematics Subject Classification ID: 11E45
Mathematics Subject Classification ID: 14D21
Mathematics Subject Classification ID: 11F30
zbMATH DE Number: 6368703
zbMATH Keywords: Kac-Moody groops
zbMATH Keywords: Eisenstein series
zbMATH Keywords: string theory
zbMATH Keywords: scattering amplitudes
zbMATH Keywords: automorphic forms
zbMATH Keywords: moduli spaces
zbMATH Keywords: Fourier coefficients
zbMATH Keywords: instantons
zbMATH Keywords: Whittaker vectors
MaRDI profile type: Publication
arXiv ID: 1312.3643
OpenAlex ID: W2118676256
DOI: 10.4310/CNTP.2014.V8.N1.A2
description: scientific article; zbMATH DE number 6368703