Volume 6, Issue 3, August 1995, Pages 273 - 293
Quest for Universal Integrable Models
Available Online 1 August 1995.
- https://doi.org/10.2991/jnmp.19126.96.36.199How to use a DOI?
- In this paper we discuss a universal integrable model, given by a sum of two WessZumino-Witten-Novikov (WZWN) actions, corresponding to two different orbits of the coadjoint action of a loop group on its dual, and the Polyakov-Weigmann cocycle describing their interactions. This is an effective action for free fermions on a torus with nontrivial boundary conditions. It is universal in the sense that all other known integrable models can be derived as reductions of this model. Hence our motivation is to present an unified description of different integrable models. We present a proof of this universal action from the action of the trivial dynamical system on the cotangent bundles of the loop group. We also present some examples of reductions.
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Cite this article
TY - JOUR AU - Partha GUHA PY - 1995 DA - 1995/08 TI - Quest for Universal Integrable Models JO - Journal of Nonlinear Mathematical Physics SP - 273 EP - 293 VL - 6 IS - 3 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.19188.8.131.52 DO - https://doi.org/10.2991/jnmp.19184.108.40.206 ID - GUHA1995 ER -