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

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10050025

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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