D-branes in Topological Minimal Models: the Landau-Ginzburg Approach
Anton Kapustin, Yi Li
TL;DR
This paper analyzes D-branes in topological N=2 minimal models using Landau-Ginzburg methods, providing a comprehensive classification and explicit calculations for A, D, and E types, and comparing with boundary state formalism.
Contribution
It offers an exhaustive list of topological branes in A and D-type models, computes boundary OPE algebras, disk correlators, and constructs examples in E-type models, bridging Landau-Ginzburg and boundary state approaches.
Findings
Complete classification of topological branes in A and D models
Explicit computation of boundary OPE algebras and disk correlators
Construction of topological branes in E-type models and agreement with boundary state formalism
Abstract
We study D-branes in topologically twisted N=2 minimal models using the Landau-Ginzburg realization. In the cases of A and D-type minimal models we provide what we believe is an exhaustive list of topological branes and compute the corresponding boundary OPE algebras as well as all disk correlators. We also construct examples of topological branes in E-type minimal models. We compare our results with the boundary state formalism, where possible, and find agreement.
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