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December 2006 Towards the massless spectrum of non-Kähler heterotic compactifications
Michelle Cyrier, Joshua M. Lapan
Adv. Theor. Math. Phys. 10(6): 853-877 (December 2006).


Fu and Yau constructed the first smooth family of gauge bundles over a class of non-Kähler, complex 3-folds that are solutions to Strominger’s system, the heterotic supersymmetry constraints with non-zero $H$-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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Michelle Cyrier. Joshua M. Lapan. "Towards the massless spectrum of non-Kähler heterotic compactifications." Adv. Theor. Math. Phys. 10 (6) 853 - 877, December 2006.


Published: December 2006
First available in Project Euclid: 25 May 2007

zbMATH: 1132.81042
MathSciNet: MR2302274

Rights: Copyright © 2006 International Press of Boston

Vol.10 • No. 6 • December 2006
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