BROWSE

Related Scientist

Researcher

Mirela Elena Babalic
기하학 수리물리 연구단
more info

Differential models for B-type open-closed topological Landau-Ginzburg theories

Cited 0 time in webofscience Cited 0 time in scopus
16 Viewed 2 Downloaded
Title
Differential models for B-type open-closed topological Landau-Ginzburg theories
Author(s)
Elena Mirela Babalic; Dmitry Doryn; Calin Iuliu Lazaroiu; Mehdi Tavakol
Publication Date
2018-08
Journal
Communications in Mathematical Physics, v.361, no.3, pp.1169 - 1234
Publisher
Springer
Abstract
We propose a family of differential models for B-type open?closed topological Landau?Ginzburg theories defined by a pair (X,W), where X is any non-compact Calabi?Yau manifold and W is any holomorphic complex-valued function defined on X whose critical set is compact. The models are constructed at cochain level using smooth data, including the twisted Dolbeault algebra of polyvector-valued forms and a twisted Dolbeault category of holomorphic factorizations of W. We give explicit proposals for cochain level versions of the bulk and boundary traces and for the bulk-boundary and boundary-bulk maps of the Landau?Ginzburg theory.We prove that most of the axioms of an open?closed TFT (topological field theory) are satisfied on cohomology and conjecture that the remaining two axioms (namely non-degeneracy of bulk and boundary traces and the topological Cardy constraint) are also satisfied. – © Springer-Verlag GmbH Germany, part of Springer Nature 2018
URI
https://pr.ibs.re.kr/handle/8788114/5206
ISSN
0010-3616
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
Files in This Item:
2018_CIL_Differential Models for B-type Open-Closed Topological Landau-Ginzburg Theories.pdfDownload

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse