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Heterotic string compactified on half-flat manifolds

2004/08/31 by Sebastien Gurrieri, Sébastien Gurrieri, Andre Lukas +2 · 6 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #hep-th

paper · pdf · doi:10.1103/physrevd.70.126009

published as Phys.Rev.D70:126009,2004 · 31 pages, references added

arxiv created 2004/09/06 · openalex publication_date 2004/12/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study the effective action of the heterotic string compactified on particular half-flat manifolds which arise in the context of mirror symmetry with Neveu-Schwarz--Neveu-Schwarz flux. We explicitly derive the superpotential and K"ahler potential at lowest order in \ensuremathα^\ensuremath' by a reduction of the bosonic action. The superpotential contains new terms depending on the K"ahler 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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