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arXiv · hep-th/0308045

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

Klaus Behrndt·Mirjam Cvetic
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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.

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Klaus Behrndt, Mirjam Cvetic. 2003-11-06. Supersymmetric Intersecting D6-branes and Fluxes in Massive Type IIA String Theory. https://doi.org/10.1016/j.nuclphysb.2003.10.028

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