T-Duality and $T \overline{T}$-like Deformations of Sigma Models
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910564528160768 |
|---|---|
| author | Bielli, Daniele Ferko, Christian Smith, Liam Tartaglino-Mazzucchelli, Gabriele |
| author_facet | Bielli, Daniele Ferko, Christian Smith, Liam Tartaglino-Mazzucchelli, Gabriele |
| contents | We initiate the study of the interplay between T-duality and classical stress tensor deformations in two-dimensional sigma models. We first show that a general Abelian T-duality commutes with the $T \overline{T}$ deformation, which can be engineered by a gravitational dressing. Then, by using an auxiliary field formulation of stress tensor deformations of the principal chiral model (PCM), we prove that non-Abelian T-duality and arbitrary $T \overline{T}$-like flows also commute for theories in this class. We argue that all such auxiliary field deformations of both the PCM and its T-dual are classically integrable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11636 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | T-Duality and $T \overline{T}$-like Deformations of Sigma Models Bielli, Daniele Ferko, Christian Smith, Liam Tartaglino-Mazzucchelli, Gabriele High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems We initiate the study of the interplay between T-duality and classical stress tensor deformations in two-dimensional sigma models. We first show that a general Abelian T-duality commutes with the $T \overline{T}$ deformation, which can be engineered by a gravitational dressing. Then, by using an auxiliary field formulation of stress tensor deformations of the principal chiral model (PCM), we prove that non-Abelian T-duality and arbitrary $T \overline{T}$-like flows also commute for theories in this class. We argue that all such auxiliary field deformations of both the PCM and its T-dual are classically integrable. |
| title | T-Duality and $T \overline{T}$-like Deformations of Sigma Models |
| topic | High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2407.11636 |