Dynamical symmetry of integrable quantum systems
Abstract
We consider the equations of triangles (alias Yang-Baxter equations), which a factorized two-particle S-matrix obeys. These equations are shown to possess a symmetry which consists of discrete Lorentz transformations acting independently on states of particles with different momenta. It is this symmetry which ensures compatibility of the overconstrained equations of triangles. The use of it enables one to construct the factorized two-particle S-matrix requiring invariance (automorphity) with respect to discrete Lorentz transformations.
- Publication:
-
Nuclear Physics B
- Pub Date:
- March 1981
- DOI:
- 10.1016/0550-3213(81)90414-4
- Bibcode:
- 1981NuPhB.180..189B