Automorphic string amplitudes
Licentiatavhandling, 2015

This thesis explores the non-perturbative properties of higher derivative interactions appearing in the low-energy expansion of four-graviton scattering amplitudes in toroidal compactifications of type IIB string theory. We summarise the arguments for finding such higher derivative corrections in terms of automorphic forms using U-duality, supersymmetry and string perturbation theory. The perturbative and non-perturbative parts can then be studied from their Fourier expansions. To be able to compute such Fourier coefficients we use the adelic framework as an intermediate step which also gives a new perspective on the arithmetic content of the scattering amplitudes. We give a review of known methods for computing certain classes of Fourier coefficients from the mathematical literature as presented in Paper I of the appended papers, and of our own work in Paper II towards computing some of the remaining coefficients of interest in string theory.

U-duality

instantons

non-perturbative effects

Whittaker vectors

Eisenstein series

string theory

automorphic forms

PJ lecture room, Fysikgården 2B, Chalmers
Opponent: Marcus Berg, Department of Physics, Karlstad University

Författare

Henrik Gustafsson

Chalmers, Fundamental fysik

Small automorphic representations and degenerate Whittaker vectors

Journal of Number Theory,; Vol. 166(2016)p. 344-399

Artikel i vetenskaplig tidskrift

Ämneskategorier

Matematik

Annan fysik

Diskret matematik

Fundament

Grundläggande vetenskaper

PJ lecture room, Fysikgården 2B, Chalmers

Opponent: Marcus Berg, Department of Physics, Karlstad University

Mer information

Skapat

2017-10-07