Moduli Dependent Spectra of Heterotic Compactifications

Abstract

Explicit methods are presented for computing the cohomology of stable, holomorphic vector bundles on elliptically fibered Calabi-Yau threefolds. The complete particle spectrum of the low-energy, four-dimensional theory is specified by the dimensions of specific cohomology groups. The spectrum is shown to depend on the choice of vector bundle moduli, jumping up from a generic minimal result to attain many higher values on subspaces of co-dimension one or higher in the moduli space. An explicit example is presented within the context of a heterotic vacuum corresponding to an SU(5) GUT in four-dimensions.

11+1 pages, 2 figures, comments added

References in corpus (5)

• The Particle Spectrum of Heterotic Compactifications
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• Vector Bundle Moduli Superpotentials in Heterotic Superstrings and M-Theory
• SU(4) Instantons on Calabi-Yau Threefolds with Z_2 x Z_2 Fundamental Group
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