Supersymmetric Intersecting D6-branes and Fluxes in Massive Type IIA String Theory

TL;DR

This paper explores N=1 supersymmetric solutions in massive Type IIA supergravity with intersecting D6-branes and fluxes, analyzing how fluxes modify the internal geometry and brane intersections.

Contribution

It derives supersymmetry conditions and describes how fluxes alter the SU(3)-structure to SU(2) in intersecting D6-brane configurations.

Findings

Fluxes break SU(3) to SU(2) structures.

D6-branes intersect at SU(2) angles in flux backgrounds.

Mass parameter relates to orthogonal D8-branes.

Abstract

We study N=1 supersymmetric four-dimensional solutions of massive Type IIA supergravity with intersecting D6-branes in the presence NS-NS three-form fluxes. We derive N=1 supersymmetry conditions for the D6-brane and flux configurations in an internal manifold $X_6$ and derive the intrinsic torsion (or SU(3)-structure) related to the fluxes. In the absence of fluxes, N=1 supersymmetry implies that D6-branes wrap supersymmetric three-cycles of $X_6$ that intersect at angles of SU(3) rotations and the geometry is deformed by SU(3)-structures. The presence of fluxes breaks the SU(3) structures to SU(2) and the D6-branes intersect at angles of SU(2) rotations; non-zero mass parameter corresponds to D8-branes which are orthogonal to the common cycle of all D6-branes. The anomaly inflow indicates that the gauge theory on intersecting (massive) D6-branes is not chiral.