Fourier expansions of Kac-Moody Eisenstein series and degenerate Whittaker vectors
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.
scientific article; zbMATH DE number 6368703