Residual Quantum Symmetries of the Restricted {Sine-Gordon} Theories
199031 pages
Published in:
- Nucl.Phys.B 340 (1990) 721-751
- Published: 1990
Report number:
- CLNS-90-974,
- SACLAY-SPH-T-90-009
View in:
Citations per year
Abstract: (Elsevier)
Various aspects of the Restricted sine-Gordon (RSG) theories for the coupling β 2 8π = p p+1 are examined. The particle spectrum is interpreted in terms of generalized kinks for the RSG potential, which is shown to effectively contain p −1 degenerate vacua. Simple arguments based on a study of the topological charge show that in the massless limit the RSG theories reduce to the Feigin-Fuchs construction. We find that the RSG S -matrices are characterized by a symmetry which generalizes supersymmetry to a fractional supersymmetry, and that the particles have fractional spin and statistics. In accordance with these results, we find some non-local chiral algebras in the minimal models that generalize the superconformal algebra, and whose currents are conserved in perturbation theory.- sine-Gordon model
- dimension: 2
- field theory: soliton
- S-matrix: factorization
- Yang-Baxter equation
- field theory: conformal
- supersymmetry: fractional
- braid group
- spin: statistics
- statistics: spin
References(21)
Figures(0)