Hidden Virasoro symmetry of (soliton solutions of) the sine-Gordon theory

2000/05/31 by D. Fioravanti, D Fioravanti, M. Stanishkov +1 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1016/s0550-3213(00)00475-2

published as Nucl.Phys. B591 (2000) 685-700 · 17 pages, corrected some typos, two references added

arxiv created 2000/08/07 · openalex publication_date 2000/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Spin-spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region
• Quantization of solitons and the restricted sine-Gordon model
• Expectation values of descendent fields in the sine-Gordon model
• Null-Vectors in Integrable Field Theory

Cited by

• Multicharged dyonic integrable models
• From finite geometry exact quantities to (elliptic) scattering amplitudes for spin chains: the 1/2-XYZ