Towards the Massless Spectrum of Non-Kahler Heterotic Compactifications

Details Towards the Massless Spectrum of Non-Kahler Heterotic Compactifications Towards the Massless Spectrum of Non-Kahler Heterotic Compactifications

2006-05-13

arxiv.org/abs/hep-th/0605131v3

Adv.Theor.Math.Phys.10:853-877,2007

Physics

High Energy Physics

High Energy Physics - Theory

22pgs; Changed to the ATMP style and minor other changes

Scientific paper

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.

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