AdS Strings with Torsion: Non-complex Heterotic Compactifications

Details AdS Strings with Torsion: Non-complex Heterotic Compactifications AdS Strings with Torsion: Non-complex Heterotic Compactifications

2005-07-20

arxiv.org/abs/hep-th/0507202v2

Phys.Rev.D72:126001,2005

Physics

High Energy Physics

High Energy Physics - Theory

42 pages; v2. added refs, revised discussion of Bianchi for NK

Scientific paper

10.1103/PhysRevD.72.126001

Combining the effects of fluxes and gaugino condensation in heterotic supergravity, we use a ten-dimensional approach to find a new class of four-dimensional supersymmetric AdS compactifications on almost-Hermitian manifolds of SU(3) structure. Computation of the torsion allows a classification of the internal geometry, which for a particular combination of fluxes and condensate, is nearly Kahler. We argue that all moduli are fixed, and we show that the Kahler potential and superpotential proposed in the literature yield the correct AdS radius. In the nearly Kahler case, we are able to solve the H Bianchi using a nonstandard embedding. Finally, we point out subtleties in deriving the effective superpotential and understanding the heterotic supergravity in the presence of a gaugino condensate.

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