Notes on Heterotic Compactifications

Details Notes on Heterotic Compactifications Notes on Heterotic Compactifications

1997-10-03

arxiv.org/abs/hep-th/9710031v2

Phys.Lett. B432 (1998) 326-332

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX, new material on index theory added

Scientific paper

10.1016/S0370-2693(98)00684-4

In this technical note we describe a pair of results on heterotic compactifications. First, we give an example demonstrating that the usual statement of the anomaly-freedom constraint for perturbative heterotic compactifications (meaning, matching second Chern characters) is incorrect for compactifications involving torsion-free sheaves. Secondly, we correct errors in the literature regarding the counting of massless particles in heterotic compactifications.

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