General N = 1 Supersymmetric Fluxes in Massive Type IIA String Theory
Abstract
We study conditions on general fluxes of massive Type IIA supergravity that lead to four-dimensional backgrounds with N = 1 supersymmetry. We derive these conditions in the case of SU(3)- as well as SU(2)-structures. SU(3)-structures imply that the internal space is constrained to be a nearly K\"ahler manifold with all the turned on fluxes, and the negative cosmological constant proportional to the mass parameter, and the dilaton fixed by the quantized ratio of the three-form and four-form fluxes. We further discuss the implications of such flux vacua with added intersecting D6-branes, leading to the chiral non-Abelian gauge sectors (without orientifold projections). Examples that break SU(3)-structures to SU(2)-ones allow for the internal space conformally flat (up to orbifold and orientifold projections), for which we give an explicit example. These results provide a starting point for further study of the four-dimensional (chiral) N = 1 supersymmetric solutions of massive Type IIA supergravity with D-branes and fluxes, compactified on orientifolds.
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Cite
@article{arxiv.hep-th/0407263,
title = {General N = 1 Supersymmetric Fluxes in Massive Type IIA String Theory},
author = {Klaus Behrndt and Mirjam Cvetic},
journal= {arXiv preprint arXiv:hep-th/0407263},
year = {2008}
}
Comments
37 pages; changed the resulting gauge group on intersecting 6-branes, corrected the explicit example (with conformal flat internal space) as well as minor modifications and add a ref