Matrix factorisations for rational boundary conditions by defect fusion

Nicolas Behr, Stefan Fredenhagen

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    Abstract: A large class of two-dimensional N=2,2$$ \mathcal{N}=\left(2,\ 2\right) $$ 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
    JournalJournal of High Energy Physics
    Volume2015
    Issue number5
    DOIs
    Publication statusPublished - May 2015

    Keywords

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

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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