Regularising Spectral Curves for Homogeneous Yang-Baxter strings
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916516113416192 |
|---|---|
| author | Driezen, Sibylle Kamath, Niranjan |
| author_facet | Driezen, Sibylle Kamath, Niranjan |
| contents | In this Letter, we study the semi-classical spectrum of integrable worldsheet $σ$-models using the Spectral Curve. We consider a Homogeneous Yang-Baxter deformation of the $AdS_5\times S^5$ superstring, understood as the composition of a Jordanian with a "non-diagonal" TsT deformation. We derive its type IIB supergravity solution, whose isometry algebra features zero supercharges and a non-relativistic conformal algebra in $0+1$ dimensions. While the Spectral Curves of non-diagonal TsT models are ill-defined, we demonstrate that the composition with a Jordanian model regularises this issue. From the regularised Curve, we derive the one-loop shift of the classical energy and the semi-classical spectrum of excitations of a point-like string. In the TsT limit, the one-loop shift vanishes despite the loss of supersymmetry. Our results suggest that it may be possible to use standard Bethe Ansatze on spin chain pictures of deformed $N=4$ Super-Yang-Mills theory dual to non-diagonal TsT models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_09811 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularising Spectral Curves for Homogeneous Yang-Baxter strings Driezen, Sibylle Kamath, Niranjan High Energy Physics - Theory In this Letter, we study the semi-classical spectrum of integrable worldsheet $σ$-models using the Spectral Curve. We consider a Homogeneous Yang-Baxter deformation of the $AdS_5\times S^5$ superstring, understood as the composition of a Jordanian with a "non-diagonal" TsT deformation. We derive its type IIB supergravity solution, whose isometry algebra features zero supercharges and a non-relativistic conformal algebra in $0+1$ dimensions. While the Spectral Curves of non-diagonal TsT models are ill-defined, we demonstrate that the composition with a Jordanian model regularises this issue. From the regularised Curve, we derive the one-loop shift of the classical energy and the semi-classical spectrum of excitations of a point-like string. In the TsT limit, the one-loop shift vanishes despite the loss of supersymmetry. Our results suggest that it may be possible to use standard Bethe Ansatze on spin chain pictures of deformed $N=4$ Super-Yang-Mills theory dual to non-diagonal TsT models. |
| title | Regularising Spectral Curves for Homogeneous Yang-Baxter strings |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.09811 |