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PIRSA:13090061

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https://pirsa.org/13090061

Orbifolds and topological defects

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

Daniel Plencner Ludwig-Maximilians-Universität München (LMU)

Talk numberPIRSA:13090061
DOI10.48660/13090061
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
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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.