Topological Heterotic Rings

Adams, Allan; Distler, Jacques; Ernebjerg, Morten

Topological Heterotic Rings

Authors

Adams, Allan

Distler, Jacques

Ernebjerg, Morten

Description

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.
26 pages, harvmac, tables