4-D gauged supergravity analysis of Type IIB vacua on $K3\times T^2/Z_2$

TL;DR

This paper investigates the vacua of type IIB string theory compactified on K3×T^2/Z_2 with fluxes, using 4D supergravity to understand moduli stabilization and supersymmetry breaking.

Contribution

It provides a supergravity framework for analyzing flux-induced vacua and demonstrates the role of quaternionic and special geometry in moduli stabilization.

Findings

Fluxes correspond to specific gaugings in supergravity.

Results align with previous work by Tripathy and Trivedi.

Shows supergravity's effectiveness in studying broken supersymmetry.

Abstract

We analyze $N=2,1,0$ vacua of type IIB string theory on $K3\times T^2/Z_2$ in presence of three-form fluxes from a four dimensional supergravity viewpoint. The quaternionic geometry of the $K3$ moduli space together with the special geometry of the NS and R-R dilatons and of the $T^2$-complex structure moduli play a crucial role in the analysis. The introduction of fluxes corresponds to a particular gauging of N=2, D=4 supergravity. Our results agree with a recent work of Tripathy and Trivedi. The present formulation shows the power of supergravity in the study of effective theories with broken supersymmetry.