Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2305.09484 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- We show that the same algebraic data that permit to construct the Lax pair and the $r$-matrix of an integrable non-linear $σ$-model in $1+1$ dimensions can be also used for the construction of Lax pairs and of $r$-matrices of several other non-trivial integrable theories in $1+0$ dimension. We call those new integrable theories the point particle ${\cal E}$-models, we describe their structure and give their physical interpretation. We work out in detail the point particle ${\cal E}$-models associated to the bi-Yang-Baxter deformation of the $SU(N)$ principal chiral model. In particular, for each complex flag manifold we thus obtain a two-parameter family of integrable models living on it.