Integration of the SL(2,R)/U(1) Gauged WZNW Model with Periodic Boundary Conditions

Abstract

Gauged WZNW models are integrable conformal field theories. We integrate the classical theory with periodic boundary conditions, which describes closed strings moving in a curved target-space geometry. We calculate its Poisson bracket structure by solving an initial state problem. The results differ from previous field-theoretic calculations due to zero modes. For a future exact canonical quantization the physical fields are (non-locally) transformed onto canonical free fields.

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