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

Behrndt, Klaus; Cvetic, Mirjam

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

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Behrndt, Klaus
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Behrndt, K., & Cvetic, M. (2004). Supersymmetric Intersecting D6-Branes and Fluxes in Massive Type IIA String Theory. Nuclear Physics B, 676, 149-171.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-50B4-B

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 X6 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 X6 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.