PIRSA:13090061 Scientific Series Quantum Fields and Strings

DOI10.48660/13090061

Series: Quantum Fields and Strings

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

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

@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}}
}

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.

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