Automorphic forms and string theory: Small automorphic representations and non-perturbative effects
Doctoral thesis, 2017
instantons
automorphic forms
automorphic representations
Eisenstein series
U-duality
non-perturbative effects
string theory
Author
Henrik Gustafsson
Chalmers, Physics, Theoretical Physics
Small automorphic representations and degenerate Whittaker vectors
Journal of Number Theory,;Vol. 166(2016)p. 344-399
Journal article
Philipp Fleig, HG, Axel Kleinschmidt, Daniel Persson. Eisenstein series and automorphic representations
Olof Ahlén, HG, Axel Kleinschmidt, Baiying Liu, Daniel Persson. Fourier coefficients attached to small automorphic representations of SLn(A)
String theory is a quantum theory of gravity and its partition function carries information about the quantum states of the theory and their interactions. Because of the many symmetries of string theory, the partition function can be described by functions called automorphic forms. In this thesis, I study such automorphic forms and compute their Fourier coefficients which contain important information about instantons and black holes.
Roots
Basic sciences
Subject Categories
Geometry
Other Physics Topics
Mathematical Analysis
ISBN
978-91-7597-609-9
Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie: 4290
Publisher
Chalmers
PJ-salen, Fysik Origo, Fysikgården 2
Opponent: Professor Solomon Friedberg, Department of Mathematics, Boston College, USA