Compactifications of Type IIB Strings to Four Dimensions with Non-trivial Classical Potential

TL;DR

This paper studies how Type IIB string theory compactified on Calabi-Yau three-folds with specific fluxes leads to a classical potential with supersymmetric minima, including at singular moduli space points, and provides a general formula for such potentials.

Contribution

It introduces a new formula for the classical potential in N=2 supergravity with electric and magnetic charges, applied to Type IIB compactifications with fluxes.

Findings

Supersymmetric minima found at singular points in moduli space.

Classical potential explicitly calculated for given flux configurations.

Formula for potential in N=2 supergravity with electric and magnetic charges provided.

Abstract

Type IIB strings are compactified on a Calabi-Yau three-fold. When Calabi-Yau-valued expectation values are given to the NS-NS and RR three-form field strengths, the dilaton hypermultiplet becomes both electrically and magnetically charged. The resultant classical potential is calculated, and minima are found. At singular points in the moduli space, such as Argyres-Douglas points, supersymmetric minima are found. A formula for the classical potential in $N=2$ supergravity is given which holds in the presence of both electric and magnetic charges.