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