PIRSA:10050025

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

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}}
          }

Raphael Benichou Vrije Universiteit Brussel (VUB)

DOI 10.48660/10050025
Collection
Talk Type Scientific Series
Subject

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.