Representation Theory of Lattice Current Algebras

  title={Representation Theory of Lattice Current Algebras},
  author={A.Yu.Alekseev and L.D.Faddeev and J.Frohlich and V.Schomerus},
Lattice current algebras were introduced as a regularization of the left- and right moving degrees of freedom in the WZNW model. They provide examples of lattice theories with a local quantum symmetry $U_q(\sg)$. Their representation theory is studied in detail. In particular, we construct all irreducible representations along with a lattice analogue of the fusion product for representations of the lattice current algebra. It is shown that for an arbitrary number of lattice sites, the… Expand
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