ar X iv : h ep - t h / 93 11 05 2 v 1 9 N ov 1 99 3 ITEP - 67 - 1993 October 1993 Liouville Theory and Special Coajoint Virasoro Orbits
نویسندگان
چکیده
We describe the Hamiltonian reduction of the coajoint Kac-Moody orbits to the Virasoro coajoint orbits explicitly in terms of the Lagrangian approach for the Wess-Zumino-Novikov-Witten theory. While a relation of the coajoint Virasoro orbit Dif f S 1 /SL(2, R) to the Liouville theory has been already studied we analyse the role of special coajoint Virasoro orbits Dif f S 1 / ˜ T ±,n corresponding to stabilizers generated by the vector fields with double zeros. The orbits with stabilizers with single zeros do not appear in the model. We find an interpretation of zeros x i of the vector field of stabilizer˜T ±,n and additional parameters q i , i = 1, ..., n, in terms of quantum mecanics for n point particles on the circle. We argue that the special orbits are generated by insertions of " wrong sign " Liouville exponential into the path integral. The additional parmeters q i are naturally interpreted as accessory parameters for the uniformization map. Summing up the contributions of the special Virasoro orbits we get the integrable sinh-Gordon type theory.
منابع مشابه
ar X iv : h ep - t h / 93 11 05 4 v 1 9 N ov 1 99 3 Preprint - KUL - TF - 93 / 47 hep - th / 9311054 November 1993
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