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PIRSA:10050025

Current algebra in conformal sigma models on supergroups (Part I)

BibTex

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2010},
            month = {may},
            note = {PIRSA:10050025 see, \url{https://scivideos.org/index.php/pirsa/10050025}}
          }
          

Raphael Benichou Vrije Universiteit Brussel

Talk numberPIRSA:10050025
Source RepositoryPIRSA

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.