A-twisted Landau-Ginzburg models

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

2008-01-24

arxiv.org/abs/0801.3836v1

Physics

High Energy Physics

High Energy Physics - Theory

64 Pages, LaTeX

Scientific paper

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.

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