Heterotic on Half-flat

Details Heterotic on Half-flat Heterotic on Half-flat

2004-08-16

arxiv.org/abs/hep-th/0408121v2

Phys.Rev.D70:126009,2004

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, references added

Scientific paper

10.1103/PhysRevD.70.126009

We study the effective action of the heterotic string compactified on particular half-flat manifolds which arise in the context of mirror symmetry with NS-NS flux. We explicitly derive the superpotential and Kahler potential at lowest order in alpha' by a reduction of the bosonic action. The superpotential contains new terms depending on the Kahler moduli which originate from the intrinsic geometrical flux of the half-flat manifolds. A generalized Gukov formula, valid for all manifolds with SU(3) structure, is derived from the gravitino mass term. For the half-flat manifolds it leads to a superpotential in agreement with our explicit bosonic calculation. We also discuss the inclusion of gauge fields.

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