A differential model for B-type Landau-Ginzburg theories

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 Kählerian 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.

8 pages, conference proceedings for the "XXXVI Workshop on Geometric Methods in Physics", Bialowieza, Poland, July 2-8, 2017

References in corpus (2)

• On the boundary coupling of topological Landau-Ginzburg models
• Localization and traces in open-closed topological Landau-Ginzburg models

Cited by in corpus (1)

• B-type Landau-Ginzburg models with one-dimensional target