On moduli and effective theory of N=1 warped flux compactifications

TL;DR

This paper analyzes the moduli space of N=1 warped flux compactifications in type II string theory, classifying deformations via generalized cohomologies and exploring their effective four-dimensional theories.

Contribution

It introduces a classification of moduli deformations using H-twisted generalized cohomologies and discusses the Kähler potential for flat moduli in warped flux compactifications.

Findings

Deformations classified by generalized cohomologies.

Identification of moduli with chiral and linear multiplets.

Explicit analysis of type IIB warped Calabi-Yau compactifications.

Abstract

The moduli space of N=1 type II warped compactions to flat space with generic internal fluxes is studied. Using the underlying integrable generalized complex structure that characterizes these vacua, the different deformations are classified by H-twisted generalized cohomologies and identified with chiral and linear multiplets of the effective four-dimensional theory. The Kaehler potential for chiral fields corresponding to classically flat moduli is discussed. As an application of the general results, type IIB warped Calabi-Yau compactifications and other SU(3)-structure subcases are considered in more detail.