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The Complete Solution of the Classical SL(2,R)/U(1) Gauged WZNW Field Theory | | Uwe Mueller
; Gerhard Weigt
; | | Date: |
29 May 1998 | | Journal: | Commun.Math.Phys. 205 (1999) 421-436 | | Subject: | hep-th | | Abstract: | We prove that any gauged WZNW model has a Lax pair representation, and give explicitly the general solution of the classical equations of motion of the SL(2,R)/U(1) theory. We calculate the symplectic structure of this solution by solving a differential equation of the Gelfand-Dikii type with initial state conditions at infinity, and transform the canonical physical fields non-locally onto canonical free fields. The results will, finally, be collected in a local Bäcklund transformation. These calculations prepare the theory for an exact canonical quantization. | | Source: | arXiv, hep-th/9805215 | | Services: | Forum | Review | PDF | Favorites | |
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