Particle production in a light-cone gauge fixed Jordanian deformation of $AdS_5\times S^5$
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866908297909501952 |
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| author | Borsato, Riccardo Driezen, Sibylle |
| author_facet | Borsato, Riccardo Driezen, Sibylle |
| contents | We consider a string on a Jordanian deformation of the $AdS_5\times S^5$ spacetime. This model belongs to the larger class of Homogeneous Yang-Baxter deformations, which preserve classical integrability in the sense that one can construct an explicit Lax connection. To study the scattering of bosonic worldsheet excitations, we fix light-cone gauge and expand around a pointlike classical solution that reduces to the BMN vacuum in the undeformed limit. Our analysis shows that the light-cone gauge-fixed Hamiltonian, under a perturbative field expansion, includes cubic terms that give rise to non-trivial cubic processes for physical particles. We discuss this unexpected result in relation to the property of Lax integrability of the sigma-model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08411 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Particle production in a light-cone gauge fixed Jordanian deformation of $AdS_5\times S^5$ Borsato, Riccardo Driezen, Sibylle High Energy Physics - Theory We consider a string on a Jordanian deformation of the $AdS_5\times S^5$ spacetime. This model belongs to the larger class of Homogeneous Yang-Baxter deformations, which preserve classical integrability in the sense that one can construct an explicit Lax connection. To study the scattering of bosonic worldsheet excitations, we fix light-cone gauge and expand around a pointlike classical solution that reduces to the BMN vacuum in the undeformed limit. Our analysis shows that the light-cone gauge-fixed Hamiltonian, under a perturbative field expansion, includes cubic terms that give rise to non-trivial cubic processes for physical particles. We discuss this unexpected result in relation to the property of Lax integrability of the sigma-model. |
| title | Particle production in a light-cone gauge fixed Jordanian deformation of $AdS_5\times S^5$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.08411 |