Topological Heterotic Rings

Details Topological Heterotic Rings Topological Heterotic Rings

2005-06-30

arxiv.org/abs/hep-th/0506263v1

Adv.Theor.Math.Phys.10:657-682,2006

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, harvmac, tables

Scientific paper

We prove the existence of topological rings in (0,2) theories containing non-anomalous left-moving U(1) currents by which they may be twisted. While the twisted models are not topological, their ground operators form a ring under non-singular OPE which reduces to the (a,c) or (c,c) ring at (2,2) points and to a classical sheaf cohomology ring at large radius, defining a quantum sheaf cohomology away from these special loci. In the special case of Calabi-Yau compactifications, these rings are shown to exist globally on the moduli space if the rank of the holomorphic bundle is less than eight.

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