Open string wavefunctions in flux compactifications

TL;DR

This paper analyzes open string wavefunctions in flux compactifications of type I supergravity on SU(3) structure manifolds, using harmonic analysis and representation theory to compute spectra and couplings, with explicit examples on twisted tori.

Contribution

It introduces a method to compute open string spectra and couplings in flux compactifications using harmonic analysis and representation theory, providing explicit examples on twisted tori.

Findings

Spectrum of open string wavefunctions derived for Lie groups and quotients.

Established correspondence between representations of the Kaloper-Myers algebra and Kaluza-Klein modes.

Computed 2- and 3-point couplings and compared with 4d supergravity results.

Abstract

We consider compactifications of type I supergravity on manifolds with SU(3) structure, in the presence of RR fluxes and magnetized D9-branes, and analyze the generalized Dirac and Laplace-Beltrami operators associated to the D9-brane worldvolume fields. These compactifications are T-dual to standard type IIB toroidal orientifolds with NSNS and RR 3-form fluxes and D3/D7 branes. By using techniques of representation theory and harmonic analysis, the spectrum of open string wavefunctions can be computed for Lie groups and their quotients, as we illustrate with explicit twisted tori examples. We find a correspondence between irreducible unitary representations of the Kaloper-Myers algebra and families of Kaluza-Klein excitations. We perform the computation of 2- and 3-point couplings for matter fields in the above flux compactifications, and compare our results with those of 4d effective supergravity.