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

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

2009-04-08

arxiv.org/abs/0904.1339v2

Mathematics

Algebraic Geometry

Completely rewritten due to errors in the first version

Scientific paper

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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