Auxiliary Field Deformations of (Semi-)Symmetric Space Sigma Models
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912033007468544 |
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| author | Bielli, Daniele Ferko, Christian Smith, Liam Tartaglino-Mazzucchelli, Gabriele |
| author_facet | Bielli, Daniele Ferko, Christian Smith, Liam Tartaglino-Mazzucchelli, Gabriele |
| contents | We generalize the auxiliary field deformations of the principal chiral model (PCM) introduced in arXiv:2405.05899 and arXiv:2407.16338 to sigma models whose target manifolds are symmetric or semi-symmetric spaces, including a Wess-Zumino term in the latter case. This gives rise to a new infinite family of classically integrable $\mathbb{Z}_2$ and $\mathbb{Z}_4$ coset models of the form which are of interest in applications of integrability to worldsheet string theory and holography. We demonstrate that every theory in this infinite class admits a zero-curvature representation for its equations of motion by exhibiting a Lax connection. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_05704 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Auxiliary Field Deformations of (Semi-)Symmetric Space Sigma Models Bielli, Daniele Ferko, Christian Smith, Liam Tartaglino-Mazzucchelli, Gabriele High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics Exactly Solvable and Integrable Systems We generalize the auxiliary field deformations of the principal chiral model (PCM) introduced in arXiv:2405.05899 and arXiv:2407.16338 to sigma models whose target manifolds are symmetric or semi-symmetric spaces, including a Wess-Zumino term in the latter case. This gives rise to a new infinite family of classically integrable $\mathbb{Z}_2$ and $\mathbb{Z}_4$ coset models of the form which are of interest in applications of integrability to worldsheet string theory and holography. We demonstrate that every theory in this infinite class admits a zero-curvature representation for its equations of motion by exhibiting a Lax connection. |
| title | Auxiliary Field Deformations of (Semi-)Symmetric Space Sigma Models |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2409.05704 |