PIRSA:13090061

Orbifolds and topological defects

APA

Plencner, D. (2013). Orbifolds and topological defects. Perimeter Institute. https://pirsa.org/13090061

MLA

Plencner, Daniel. Orbifolds and topological defects. Perimeter Institute, Sep. 17, 2013, https://pirsa.org/13090061

BibTex

          @misc{ pirsa_PIRSA:13090061,
            doi = {10.48660/13090061},
            url = {https://pirsa.org/13090061},
            author = {Plencner, Daniel},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Orbifolds and topological defects},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {sep},
            note = {PIRSA:13090061 see, \url{https://pirsa.org}}
          }
          

Daniel Plencner

Ludwig-Maximilians-Universitiät München (LMU)

Talk number
PIRSA:13090061
Abstract
Orbifolding a 2-dimensional quantum field theory by a symmetry group admits an elegant description in terms of defect lines and their junction fields. This perspective offers a natural generalization of the concept of an orbifold, in which the role of the symmetry group is replaced by a defect with the structure of a (symmetric) separable Frobenius algebra. In this talk I will focus on the case of Landau-Ginzburg models, in which defects are described by matrix factorizations. After introducing the generalized twisted sectors and discussing topological bulk and boundary correlators in these sectors, I will present a simple proof of the Cardy condition and discuss some further consistency checks on the generalized orbifold theory. This talk is based on arXiv:1307.3141 with Ilka Brunner and Nils Carqueville.