Abstract:

Motivated by an attempt to formulate (non chiral) conformal field theories of principal chiral models on manifolds of supergroups with vanishing Killing form as an OPE current algebras, we consider a related class of non semisimple affine (and non affine) (super)algebras, their representation theory and construct from them a chiral CFT. We address the questions of their representations, characters, fusion rules, and modular properties.

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