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Notes on certain other (0,2) correlation functions

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arxiv hep-th/0605005 v1 pith:7ABJNDQ2 submitted 2006-04-30 hep-th

classification hep-th
keywords modelcorrelationanaloguecomputationscorrectionsdiscussfunctionslocus
verification ladder T0 review T1 audit T2 compute T3 formal

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In this paper we shall describe some correlation function computations in perturbative heterotic strings that generalize B model computations. On the (2,2) locus, correlation functions in the B model receive no quantum corrections, but off the (2,2) locus, that can change. Classically, the (0,2) analogue of the B model is equivalent to the previously-discussed (0,2) analogue of the A model, but with the gauge bundle dualized -- our generalization of the A model, also simultaneously generalizes the B model. The A and B analogues sometimes have different regularizations, however, which distinguish them quantum-mechanically. We discuss how properties of the (2,2) B model, such as the lack of quantum corrections, are realized in (0,2) A model language. In an appendix, we also extensively discuss how the Calabi-Yau condition for the closed string B model (uncoupled to topological gravity) can be weakened slightly, a detail which does not seem to have been covered in the literature previously. That weakening also manifests in the description of the (2,2) B model as a (0,2) A model.

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Cited by 2 Pith papers

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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.

  2. Heterotic Strings on Enriques Surfaces

    hep-th 2026-05 unverdicted novelty 5.0 of 10

    Classifies shift vectors for heterotic orbifolds on Enriques surfaces, analyzes spectra, and interprets some models as non-supersymmetric 10D heterotic compactifications with tachyon projection.

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