Conformal field theory, solitons, and elliptic Calogero--Sutherland models
- Resource Type
- Working Paper
- Authors
- Berntson, Bjorn K.; Langmann, Edwin; Lenells, Jonatan
- Source
- Subject
- Mathematical Physics
Mathematics - Quantum Algebra
Nonlinear Sciences - Exactly Solvable and Integrable Systems
- Language
We construct a non-chiral conformal field theory (CFT) on the torus that accommodates a second quantization of the elliptic Calogero-Sutherland (eCS) model. We show that the CFT operator that provides this second quantization defines, at the same time, a quantum version of a soliton equation called the non-chiral intermediate long-wave (ncILW) equation. We also show that this CFT operator is a second quantization of a generalized eCS model which can describe arbitrary numbers of four different kinds of particles; we propose that these particles can be identified with solitons of the quantum ncILW equation.
Comment: 56 pages