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

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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.