Supersymmetric D-branes on flux backgrounds

TL;DR

This paper explores the physics of D-branes in Type II flux compactifications with N=1 supersymmetry, focusing on generalized calibrations, superpotentials, and the spectrum in relation to generalized complex geometry.

Contribution

It introduces a framework linking D-brane physics in flux backgrounds to generalized complex geometry, providing new tools for characterizing vacua and spectra.

Findings

Characterization of flux vacua via generalized calibrations

Formulas for superpotentials and D-terms in N=1 compactifications

Massless spectrum described by cohomology groups of a differential complex

Abstract

Several aspects concerning the physics of D-branes in Type II flux compactifications preserving minimal N=1 supersymmetry in four dimensions are considered. It is shown how these vacua are completely characterized in terms of properly defined generalized calibrations for D-branes and the relation with Generalized Complex Geometry is discussed. General expressions for superpotentials and D-terms associated with the N=1 four-dimensional description of space-time filling D-branes are presented. The massless spectrum of calibrated D-branes can be characterized in terms of cohomology groups of a differential complex canonically induced on the D-branes by the underlying generalized complex structure.