PIRSA:09120018 Scientific Series Quantum Fields and Strings

DOI10.48660/09120018

Series: Quantum Fields and Strings

Razamat, S. (2009). Aspects of symmetric product orbifolds. Perimeter Institute. https://pirsa.org/09120018

Razamat, Shlomo. Aspects of symmetric product orbifolds. Perimeter Institute, Dec. 15, 2009, https://pirsa.org/09120018 

@misc{ pirsa_PIRSA:09120018,
  doi = {10.48660/09120018},
  url = {https://pirsa.org/09120018},
  author = {Razamat, Shlomo},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Aspects of symmetric product orbifolds},
  publisher = {Perimeter Institute},
  year = {2009},
  month = {dec},
  note = {PIRSA:09120018 see, \url{https://pirsa.org}}
}

Abstract

In the context of AdS/CFT correspondence the AdS_3/CFT_2 instance of the duality stands apart from other well studied cases, like AdS_5/CFT_4 or AdS_4/CFT_3. One of the reasons is that the CFT side of this duality is not a theory of matrices but rather a two dimensional orbifold based on the group of permutations. In this talk we will discuss some aspects of this theory. In particular a diagrammatic language, akin to Feynman diagrams used for gauge theories, will be developed. Moreover, we will compute a large set of protected quantities in a certain symmetric product orbifold CFT, and show that these are elegantly given in terms of Hurwitz numbers.

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