A-twisted Landau-Ginzburg models

Abstract

In this paper we discuss correlation functions in certain A-twisted Landau-Ginzburg models. Although B-twisted Landau-Ginzburg models have been discussed extensively in the literature, virtually no work has been done on A-twisted theories. In particular, we study examples of Landau-Ginzburg models over topologically nontrivial spaces - not just vector spaces - away from large-radius limits, so that one expects nontrivial curve corrections. By studying examples of Landau-Ginzburg models in the same universality class as nonlinear sigma models on nontrivial Calabi-Yaus, we obtain nontrivial tests of our methods as well as a physical realization of some simple examples of virtual fundamental class computations.

64 Pages, LaTeX

References in corpus (7)

• Cluster decomposition, T-duality, and gerby CFT's
• Non-birational twisted derived equivalences in abelian GLSMs
• Homological projective duality for Grassmannians of lines
• The Witten equation and its virtual fundamental cycle
• GLSM's for partial flag manifolds
• Notes on certain other (0,2) correlation functions
• A-twisted heterotic Landau-Ginzburg models

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