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Automorphic string amplitudes

Henrik P. A. Gustafsson (Institutionen för fundamental fysik)
Göteborg : Chalmers University of Technology, 2015. - 57 s.
[Licentiatavhandling]

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.

Nyckelord: string theory, automorphic forms, U-duality, non-perturbative effects, instantons, Eisenstein series, Whittaker vectors



Denna post skapades 2015-11-23. Senast ändrad 2015-11-26.
CPL Pubid: 226156

 

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Institutioner (Chalmers)

Institutionen för fundamental fysik (2005-2015)

Ämnesområden

Algebra och geometri
Diskret matematik
Matematisk fysik
Relativitetsteori, gravitation

Chalmers infrastruktur

Relaterade publikationer

Inkluderade delarbeten:


Small automorphic representations and degenerate Whittaker vectors


Eisenstein series and automorphic representations


Examination

Datum: 2015-12-14
Tid: 13:15
Lokal: PJ lecture room, Fysikgården 2B, Chalmers
Opponent: Marcus Berg, Department of Physics, Karlstad University