Matrix factorisations for rational boundary conditions by defect fusion

Nicolas Behr, Stefan Fredenhagen

Research output: Contribution to journalArticlepeer-review

Abstract

A large class of two-dimensional N=(2, 2) superconformal field theories can be understood as IR fixed-points of Landau-Ginzburg models. In particular, there are rational conformal field theories that also have a Landau-Ginzburg description. To understand better the relation between the structures in the rational conformal field theory and in the Landau-Ginzburg theory, we investigate how rational B-type boundary conditions are realised as matrix factorisations in the SU(3)/U(2) Grassmannian Kazama-Suzuki model. As a tool to generate the matrix factorisations we make use of a particular interface between the Kazama-Suzuki model and products of minimal models, whose fusion can be realised as a simple functor on ring modules. This allows us to formulate a proposal for all matrix factorisations corresponding to rational boundary conditions in the SU(3)/U(2) model.
Original languageEnglish
Number of pages57
JournalJournal of High Energy Physics
Volume2015
Issue number5
DOIs
Publication statusPublished - 2015

Keywords

  • D-branes
  • Conformal Field Models in String Theory
  • Tachyon Condensation
  • Topological Field Theories

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