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

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

1999-07-08

arxiv.org/abs/hep-th/9907057v2

Nucl.Phys. B568 (2000) 457-471

Physics

High Energy Physics

High Energy Physics - Theory

Equations (72) corrected in accordance with the version published in Nuclear Physics B

Scientific paper

10.1016/S0550-3213(99)00724-5

Gauged WZNW models are integrable conformal field theories. We integrate the classical \slu{} 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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