Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.09301 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929344597721088 |
|---|---|
| author | Lacroix, Sylvain Wallberg, Anders |
| author_facet | Lacroix, Sylvain Wallberg, Anders |
| contents | We introduce a new elliptic integrable $σ$-model in the form of a two-parameter deformation of the Principal Chiral Model on the group $\text{SL}_{\mathbb{R}}(N)$, generalising a construction of Cherednik for $N=2$ (up to reality conditions). We exhibit the Lax connection and $\mathcal{R}$-matrix of this theory, which depend meromorphically on a spectral parameter valued in the torus. Furthermore, we explain the origin of this model from an equivariant semi-holomorphic 4-dimensional Chern-Simons theory on the torus. This approach opens the way for the construction of a large class of elliptic integrable $σ$-models, with the deformed Principal Chiral Model as the simplest example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_09301 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An elliptic integrable deformation of the Principal Chiral Model Lacroix, Sylvain Wallberg, Anders High Energy Physics - Theory We introduce a new elliptic integrable $σ$-model in the form of a two-parameter deformation of the Principal Chiral Model on the group $\text{SL}_{\mathbb{R}}(N)$, generalising a construction of Cherednik for $N=2$ (up to reality conditions). We exhibit the Lax connection and $\mathcal{R}$-matrix of this theory, which depend meromorphically on a spectral parameter valued in the torus. Furthermore, we explain the origin of this model from an equivariant semi-holomorphic 4-dimensional Chern-Simons theory on the torus. This approach opens the way for the construction of a large class of elliptic integrable $σ$-models, with the deformed Principal Chiral Model as the simplest example. |
| title | An elliptic integrable deformation of the Principal Chiral Model |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2311.09301 |