Restricted sine-Gordon Theory in the Repulsive Regime as Perturbed Minimal CFTs

1991/11/11 by Changrim Ahn, Ahn, Changrim
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9111022

34 Pages

arxiv created 1991/11/11 · openalex publication_date 1991/11/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct the restricted sine-Gordon theory by truncating the sine-Gordon multi-soliton Hilbert space for the repulsive coupling constant due to the quantum group symmetry SL_q(2) which we identify from the Korepin's S-matrices. We connect this restricted sine-Gordon theory with the minimal (c<1) conformal field theory \cal M_p/p+2 (p odd) perturbed by the least relevent primary field Φ_1,3. The exact S-matrices are derived for the particle spectrum of a kink and neutral particles. As a consistency check, we compute the central charge of the restricted theory in the UV limit using the thermodynamic Bethe ansatz analysis and show that it is equal to that of \cal M_p/p+2.

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