Type IIB supergravity compactified on a Calabi-Yau manifold with H-fluxes

TL;DR

This paper explores the compactification of type IIB supergravity on Calabi-Yau manifolds with fluxes, deriving the resulting potential using direct methods and gauged supergravity techniques, and comparing with prior results.

Contribution

It provides a detailed derivation of the classical potential in flux compactifications using two approaches and discusses its properties.

Findings

Derived the classical potential from flux compactification

Compared direct compactification and gauged supergravity methods

Analyzed properties of the resulting potential

Abstract

We discuss the compactification of type IIB supergravity on a Calabi-Yau manifold in the presence of both RR and NS fluxes for the three-form fields. We obtain the classical potential both by direct compactification and by using the techniques of N=2 gauged supergravity in four-dimensions. We briefly discuss the properties of such potential and compare the result with previous derivations.