D-branes on AdS flux compactifications

TL;DR

This paper investigates the conditions for supersymmetric D-branes in AdS_4 flux compactifications, revealing their stability, geometric properties, and correspondence with background supersymmetry, with explicit examples in IIA nearly Kähler backgrounds.

Contribution

It provides a detailed analysis of D-brane supersymmetry conditions in AdS_4 flux backgrounds, extending the concept of calibrations and stability analysis beyond Minkowski cases.

Findings

Stable D-branes can wrap trivial internal cycles in AdS_4.

A one-to-one correspondence between supersymmetry conditions and generalized calibrations is established.

Explicit examples are provided for supersymmetric D-branes in IIA nearly Kähler AdS_4 flux compactifications.

Abstract

We study D-branes in N=1 flux compactifications to AdS_4. We derive their supersymmetry conditions and express them in terms of background generalized calibrations. Basically because AdS has a boundary, the analysis of stability is more subtle and qualitatively different from the usual case of Minkowski compactifications. For instance, stable D-branes filling AdS_4 may wrap trivial internal cycles. Our analysis gives a geometric realization of the four-dimensional field theory approach of Freedman and collaborators. Furthermore, the one-to-one correspondence between the supersymmetry conditions of the background and the existence of generalized calibrations for D-branes is clarified and extended to any supersymmetric flux background that admits a time-like Killing vector and for which all fields are time-independent with respect to the associated time. As explicit examples, we discuss supersymmetric D-branes on IIA nearly Kaehler AdS_4 flux compactifications.