PIRSA:10050025 Scientific Series Quantum Fields and Strings

DOI10.48660/10050025

Series: Quantum Fields and Strings

Benichou, R. (2010). Current algebra in conformal sigma models on supergroups (Part I). Perimeter Institute. https://pirsa.org/10050025

Benichou, Raphael. Current algebra in conformal sigma models on supergroups (Part I). Perimeter Institute, May. 12, 2010, https://pirsa.org/10050025 

@misc{ pirsa_PIRSA:10050025,
  doi = {10.48660/10050025},
  url = {https://pirsa.org/10050025},
  author = {Benichou, Raphael},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Current algebra in conformal sigma models on supergroups (Part I)},
  publisher = {Perimeter Institute},
  year = {2010},
  month = {may},
  note = {PIRSA:10050025 see, \url{https://pirsa.org}}
}

Abstract

Two-dimensional non-linear sigma models on some supergroup manifolds are conformal field theories whether the action includes a Wess-Zumino term or not. These models are relevant for the worldsheet description of string theory in Anti-de Sitter backgrounds with Ramond-Ramond fluxes. The current algebra is an useful tool to study these theories. In these lectures I will review the construction of the current algebra. Then I will discuss some applications to the computation of the spectrum and integrability.

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