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Topological Heterotic Rings

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arxiv hep-th/0506263 v1 pith:OGXEKMSO submitted 2005-06-30 hep-th math.AG

Allan Adams , Jacques Distler , Morten Ernebjerg This is my paper · ORCID
classification hep-thmath.AG
keywords ringringstopologicalcohomologysheafspecialtwistedaway
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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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Cited by 1 Pith paper

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  1. A proposal for nonabelian (0,2) mirrors

    hep-th 2019-08 conditional novelty 6.0 of 10

    For (0,2) gauge theories with linear diagonal E-terms, the paper proposes a Weyl-orbifolded Landau-Ginzburg mirror and shows it reproduces quantum sheaf cohomology rings and A/2 correlation functions.

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