Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-10-26
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, LATEX. Talk presented by I.T. Todorov at the International symposium "Quantum Theory and Symmetries"' 18-22 July 199
Scientific paper
The left and right zero modes of the level k SU(n) WZNW model give rise to a pair of isomorphic (left and right) mutually commuting quantum matrix algebras. For a deformation parameter q being an even (2h-th, h = k + n) root of unity each of these matrix algebras admits an ideal such that the corresponding factor algebra is finite dimensional. The structure of superselection sectors of the (diagonal) 2D WZNW model is then reduced to a finite dimensional problem of a gauge theory type. For n=2 this problem is solved using a generalized BRS formalism.
Dubois-Violette Michel
Furlan Paolo
Hadjiivanov Ludmil K.
Isaev A. P.
Pyatov P. N.
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