BPS D0-D6 Branes in Supergravity

TL;DR

This paper investigates 1/2 BPS supergravity solutions for D0-D6 branes with B-fields, deriving supersymmetry conditions, analyzing stability, and constructing a fully back-reacted 1/8 BPS solution.

Contribution

It provides a detailed analysis of D0-D6 brane configurations with B-fields, including supersymmetry conditions and a novel fully back-reacted supergravity solution.

Findings

D0-Dp BPS conditions with B-fields derived from probe analysis

Identification of walls of marginal stability via B-fields

Construction of a fully back-reacted 1/8 BPS D0-D6 supergravity solution

Abstract

We analyse 1/2 BPS IIA Dp-brane supergravity solutions with $B$-fields and their Killing spinor equations. Via probe analysis, we rederive the supersymmetry conditions for D0-Dp with $B$-fields. In the case of D6 with $B$-fields, the D0-probe sees a multi-centred BPS configuration where the $B$-fields give the location of a wall of marginal stability. Finally we go beyond the probe approximation and construct a 1/8 BPS supergravity solution for a fully back-reacted D0-D6 with $B$-fields.