Unfolding of Orbifold LG B-Models: A Case Study

Abstract

In this note we explore the variation of Hodge structures associated to the orbifold Landau-Ginzburg B-model whose superpotential has two variables. We extend the Getzler-Gauss-Manin connection to Hochschild chains twisted by group action. As an application, we provide explicit computations for the Getzler-Gauss-Manin connection on the universal (noncommutative) unfolding of ${\mathbb{Z}}_2$-orbifolding of A-type singularities. The result verifies an example of deformed version of Mckay correspondence.

arXiv comment19 pages

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Cited by in corpus (1)

• Categorical Saito theory, II: Landau-Ginzburg orbifolds