A-twisted heterotic Landau-Ginzburg models

Details A-twisted heterotic Landau-Ginzburg models A-twisted heterotic Landau-Ginzburg models

2008-01-25

arxiv.org/abs/0801.3955v1

J.Geom.Phys.59:1581-1596,2009

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, LaTeX

Scientific paper

10.1016/j.geomphys.2009.07.013

In this paper, we apply the methods developed in recent work for constructing A-twisted (2,2) Landau-Ginzburg models to analogous (0,2) models. In particular, we study (0,2) Landau-Ginzburg models on topologically non-trivial spaces away from large-radius limits, where one expects to find correlation function contributions akin to (2,2) curve corrections. Such heterotic theories admit A- and B-model twists, and exhibit a duality that simultaneously exchanges the twists and dualizes the gauge bundle. We explore how this duality operates in heterotic Landau-Ginzburg models, as well as other properties of these theories, using examples which RG flow to heterotic nonlinear sigma models as checks on our methods.

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