Inequivalent light-cone gauge-fixings of strings on $AdS_n \times S^n$ backgrounds
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913345159823360 |
|---|---|
| author | Borsato, Riccardo Driezen, Sibylle Hoare, Ben Retore, Ana L. Seibold, Fiona K. |
| author_facet | Borsato, Riccardo Driezen, Sibylle Hoare, Ben Retore, Ana L. Seibold, Fiona K. |
| contents | Light-cone gauge-fixed sigma-models on $AdS_n\times S^n$ backgrounds play an important role in the integrability formulation of the AdS/CFT correspondence. The string spectrum of the sigma-model is gauge-independent, however the Hamiltonian and scattering matrix of the transverse worldsheet fields are not. We study how these change for a large family of inequivalent light-cone gauges, which are interpreted as $T\bar{T}$, $\tilde{J}T_τ$, $JT_σ$ and $J^τ$ deformations. We investigate the moduli space of equivalent light-cone gauges and, specialising to $AdS_5 \times S^5$, compute the different light-cone gauge symmetry algebras, well-known to be $\mathfrak{psu}(2|2)^{\oplus 2} \oplus \mathfrak{u}(1)^{\oplus 2}$ for the standard gauge-fixing. Many integrable deformations require a non-standard light-cone gauge, hence our classification and analysis of inequivalent gauges will be important for analysing such models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_17056 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Inequivalent light-cone gauge-fixings of strings on $AdS_n \times S^n$ backgrounds Borsato, Riccardo Driezen, Sibylle Hoare, Ben Retore, Ana L. Seibold, Fiona K. High Energy Physics - Theory Light-cone gauge-fixed sigma-models on $AdS_n\times S^n$ backgrounds play an important role in the integrability formulation of the AdS/CFT correspondence. The string spectrum of the sigma-model is gauge-independent, however the Hamiltonian and scattering matrix of the transverse worldsheet fields are not. We study how these change for a large family of inequivalent light-cone gauges, which are interpreted as $T\bar{T}$, $\tilde{J}T_τ$, $JT_σ$ and $J^τ$ deformations. We investigate the moduli space of equivalent light-cone gauges and, specialising to $AdS_5 \times S^5$, compute the different light-cone gauge symmetry algebras, well-known to be $\mathfrak{psu}(2|2)^{\oplus 2} \oplus \mathfrak{u}(1)^{\oplus 2}$ for the standard gauge-fixing. Many integrable deformations require a non-standard light-cone gauge, hence our classification and analysis of inequivalent gauges will be important for analysing such models. |
| title | Inequivalent light-cone gauge-fixings of strings on $AdS_n \times S^n$ backgrounds |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.17056 |