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arXiv · 0904.1339

The closed state space of affine Landau-Ginzburg B-models

Ed Segal
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Abstract

We study the category of perfect cdg-modules over a curved algebra, and in particular the category of B-branes in an affine Landau-Ginzburg model. We construct an explicit chain map from the Hochschild complex of the category to the closed state space of the model, and prove that this is a quasi-isomorphism from the Borel-Moore Hochschild complex. Using the lowest-order term of our map we derive Kapustin and Li's formula for the correlator of an open-string state over a disc.

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Ed Segal. 2011-04-19. The closed state space of affine Landau-Ginzburg B-models. https://arxiv.org/abs/0904.1339

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