On B-type open–closed Landau–Ginzburg theories defined on Calabi–Yau Stein manifolds

E. M. Babalic, D. Doryn, C. I. Lazaroiu, Mehdi Tavakol

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

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 of the analytic models which arise when X is holomorphically parallelizable and illustrate these in a few classes of examples.
Original languageEnglish
Pages (from-to)129-165
Number of pages37
JournalCommunications in Mathematical Physics
Volume362
Issue number1
DOIs
Publication statusPublished - 2018

Fingerprint

Dive into the research topics of 'On B-type open–closed Landau–Ginzburg theories defined on Calabi–Yau Stein manifolds'. Together they form a unique fingerprint.

Cite this