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27 April 2024
 
  » arxiv » hep-th/0506263

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Topological Heterotic Rings
Allan Adams ; Jacques Distler ; Morten Ernebjerg ;
Date 30 Jun 2005
Subject High Energy Physics - Theory; Algebraic Geometry | hep-th math.AG
AbstractWe 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.
Source arXiv, hep-th/0506263
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