2 00 9 The closed state space of affine Landau - Ginzburg B - models

Abstract

We show that the Hochschild homology of the category of perfect modules over a curved algebra is equal to the Jacobi ring of the corresponding affine singularity. This implies that the closed state space of an affine Landau-Ginzburg B-model is the universal closed state space compatible with its open sector. As an application we derive mathematically Kapustin and Li’s formula for the open-sector correlators over discs. We also extend our results to affine orbifolds, proving along the way an orbifold generalization of the Hochschild-Kostant-Rosenberg isomorphism.

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Cite this paper

@inproceedings{Segal2009209, title={2 00 9 The closed state space of affine Landau - Ginzburg B - models}, author={Ed Segal}, year={2009} }