Journal article

On B-type Open-Closed Landau-Ginzburg Theories Defined on Calabi-Yau Stein Manifolds

Elena Mirela Babalic, Dmitry Doryn, Calin Iuliu Lazaroiu, Mehdi Tavakol

Communications in Mathematical Physics | SPRINGER | Published : 2018

Abstract

We consider the bulk algebra and topological D-brane category arising from the differential model of the open–closed B-type topological Landau–Ginzburg theory defined by a pair (X,W), where X is a non-compact Calabi–Yau manifold and W is a complex-valued holomorphic function. When X is a Stein manifold (but not restricted to be a domain of holomorphy), we extract equivalent descriptions of the bulk algebra and of the category of topological D-branes which are constructed using only the analytic space associated to X. In particular, we show that the D-brane category is described by projective factorizations defined over the ring of holomorphic functions of X. We also discuss simplifications o..

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University of Melbourne Researchers

Grants

Awarded by research Grant, "Constructive string field theory of open-closed topological B-type strings"


Funding Acknowledgements

This work was supported by the research Grant IBS-R003-S1, "Constructive string field theory of open-closed topological B-type strings".