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arXiv · 1709.00684

A differential model for B-type Landau-Ginzburg theories

Elena Mirela Babalic·Dmitry Doryn·Calin Iuliu Lazaroiu·Mehdi Tavakol
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Abstract

We describe a mathematically rigorous differential model for B-type open-closed topological Landau-Ginzburg theories defined by a pair $(X,W)$, where $X$ is a non-compact K\"ahlerian manifold with holomorphically trivial canonical line bundle and $W$ is a complex-valued holomorphic function defined on $X$ and whose critical locus is compact but need not consist of isolated points. We also show how this construction specializes to the case when $X$ is Stein and $W$ has finite critical set, in which case one recovers a simpler mathematical model.

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Elena Mirela Babalic, Dmitry Doryn, Calin Iuliu Lazaroiu, Mehdi Tavakol. 2017-09-03. A differential model for B-type Landau-Ginzburg theories. https://doi.org/10.1007/978-3-030-01156-7_22

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