Hidden Virasoro Symmetry of (Soliton Solutions of) the Sine Gordon Theory

Details Hidden Virasoro Symmetry of (Soliton Solutions of) the Sine Gordon Theory Hidden Virasoro Symmetry of (Soliton Solutions of) the Sine Gordon Theory

2000-05-17

arxiv.org/abs/hep-th/0005158v2

Nucl.Phys. B591 (2000) 685-700

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, corrected some typos, two references added

Scientific paper

10.1016/S0550-3213(00)00475-2

We present a construction of a Virasoro symmetry of the sine-Gordon (SG) theory. It is a dynamical one and has nothing to do with the space-time Virasoro symmetry of 2D CFT. Although it is clear how it can be realized dyrectly in the SG field theory, we are rather concerned here with the corresponding N-soliton solutions. We present explicit expressions for their infinithesimal transformations and show that they are local in this case. Some preliminary stages about the quantization of the classical results presented in this paper are also given.

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