Scattering in the dual regime of Yang-Baxter deformed O(2N) sigma models
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917017993347072 |
|---|---|
| author | Bychkov, Alexey Nekrasov, Boris |
| author_facet | Bychkov, Alexey Nekrasov, Boris |
| contents | We continue to explore the previously suggested dual regime of Yang-Baxter (YB) deformed $\mathrm{O}(2N)$ sigma models, which is a new one-parametric deformation of the $\mathrm{O}(2N)$ model. It can be obtained from the conventional YB deformed $\mathrm{O}(2N+2)$ sigma model by freezing two isometries. The scattering matrix in the non-deformed $\mathrm{O}(n)$ model is known to coincide with the rational $\mathfrak{so}_n$-invariant $R-$matrix. For $n = 2N$ this rational solution allows for two trigonometric deformations: the usual $D_N^{(1)}$ and the twisted $D_{N}^{(2)}$. The usual one is known to coincide with the scattering matrix of the conventional $\mathrm{YB-O}(2N)$ model. A natural question to ask is what sigma model corresponds to the twisted solution. In this work we claim that it is precisely our dual regime of $\mathrm{YB-O}(2N)$. We find the corresponding unitarizing function $F_N(θ)$ explicitly, and, as a bonus, extract some physical properties of this system using the thermodynamic Bethe Ansatz technique. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11429 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Scattering in the dual regime of Yang-Baxter deformed O(2N) sigma models Bychkov, Alexey Nekrasov, Boris High Energy Physics - Theory We continue to explore the previously suggested dual regime of Yang-Baxter (YB) deformed $\mathrm{O}(2N)$ sigma models, which is a new one-parametric deformation of the $\mathrm{O}(2N)$ model. It can be obtained from the conventional YB deformed $\mathrm{O}(2N+2)$ sigma model by freezing two isometries. The scattering matrix in the non-deformed $\mathrm{O}(n)$ model is known to coincide with the rational $\mathfrak{so}_n$-invariant $R-$matrix. For $n = 2N$ this rational solution allows for two trigonometric deformations: the usual $D_N^{(1)}$ and the twisted $D_{N}^{(2)}$. The usual one is known to coincide with the scattering matrix of the conventional $\mathrm{YB-O}(2N)$ model. A natural question to ask is what sigma model corresponds to the twisted solution. In this work we claim that it is precisely our dual regime of $\mathrm{YB-O}(2N)$. We find the corresponding unitarizing function $F_N(θ)$ explicitly, and, as a bonus, extract some physical properties of this system using the thermodynamic Bethe Ansatz technique. |
| title | Scattering in the dual regime of Yang-Baxter deformed O(2N) sigma models |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.11429 |