Towards the Massless Spectrum of Non-Kahler Heterotic Compactifications
arXiv:hep-th/0605131
Abstract
Fu and Yau constructed the first smooth family of gauge bundles over a class of non-Kahler, complex 3-folds that are solutions to Strominger's system, the heterotic supersymmetry constraints with nonzero H-flux. In this paper, we begin the study of the massless spectrum arising from compactification using this construction by counting zero modes of the linearized equations of motion for the gaugino in the supergravity approximation. We rephrase the question in terms of a cohomology problem and show that for a trivial gauge bundle, this cohomology reduces to the Dolbeault cohomology of the 3-fold, which we then compute.
arXiv comment22pgs; Changed to the ATMP style and minor other changes
References in corpus (7)
- de Sitter Vacua in String Theory
- M Theory, Orientifolds and G-Flux
- Superstrings with Intrinsic Torsion
- Geometric Model for Complex Non-Kaehler Manifolds with SU(3) Structure
- Heterotic Strings with Torsion
- Type IIB Solutions with Interpolating Supersymmetries
- Existence of Supersymmetric Hermitian Metrics with Torsion on Non-Kaehler Manifolds