A-twisted Landau–Ginzburg models

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.