$T\bar{T}$ and root-$T\bar{T}$ deformations in four-dimensional Chern-Simons theory
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_ | 1866912826875969536 |
|---|---|
| author | Sakamoto, Jun-ichi Tateo, Roberto Yamazaki, Masahito |
| author_facet | Sakamoto, Jun-ichi Tateo, Roberto Yamazaki, Masahito |
| contents | The four-dimensional Chern-Simons (CS) theory provides a systematic procedure for realizing two-dimensional integrable field theories. It is therefore a natural question to ask whether integrable deformations of the theories can be realized in the four-dimensional CS theory. In this work, we study $T\bar{T}$ and root-$T\bar{T}$ deformations of two-dimensional integrable field theories, formulated in terms of dynamical coordinate transformations, within the framework of four-dimensional CS theory coupled to disorder defects. We illustrate our procedure in detail for the degenerate $\mathcal{E}$-model, a specific construction that captures and unifies a broad range of integrable systems, including the principal chiral model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_12303 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $T\bar{T}$ and root-$T\bar{T}$ deformations in four-dimensional Chern-Simons theory Sakamoto, Jun-ichi Tateo, Roberto Yamazaki, Masahito High Energy Physics - Theory Exactly Solvable and Integrable Systems The four-dimensional Chern-Simons (CS) theory provides a systematic procedure for realizing two-dimensional integrable field theories. It is therefore a natural question to ask whether integrable deformations of the theories can be realized in the four-dimensional CS theory. In this work, we study $T\bar{T}$ and root-$T\bar{T}$ deformations of two-dimensional integrable field theories, formulated in terms of dynamical coordinate transformations, within the framework of four-dimensional CS theory coupled to disorder defects. We illustrate our procedure in detail for the degenerate $\mathcal{E}$-model, a specific construction that captures and unifies a broad range of integrable systems, including the principal chiral model. |
| title | $T\bar{T}$ and root-$T\bar{T}$ deformations in four-dimensional Chern-Simons theory |
| topic | High Energy Physics - Theory Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2509.12303 |