Infinite Family of Integrable Sigma Models Using Auxiliary Fields
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913657423659008 |
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| author | Ferko, Christian Smith, Liam |
| author_facet | Ferko, Christian Smith, Liam |
| contents | We introduce a class of $2d$ sigma models which are parameterized by a function of one variable. In addition to the physical field $g$, these models include an auxiliary field $v_α$ which mediates interactions in a prescribed way. We prove that every theory in this family is classically integrable, in that it possesses an infinite set of conserved charges in involution, which can be constructed from a Lax representation for the equations of motion. This class includes the principal chiral model (PCM) and all deformations of the PCM by functions of the energy-momentum tensor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05899 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Infinite Family of Integrable Sigma Models Using Auxiliary Fields Ferko, Christian Smith, Liam High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems We introduce a class of $2d$ sigma models which are parameterized by a function of one variable. In addition to the physical field $g$, these models include an auxiliary field $v_α$ which mediates interactions in a prescribed way. We prove that every theory in this family is classically integrable, in that it possesses an infinite set of conserved charges in involution, which can be constructed from a Lax representation for the equations of motion. This class includes the principal chiral model (PCM) and all deformations of the PCM by functions of the energy-momentum tensor. |
| title | Infinite Family of Integrable Sigma Models Using Auxiliary Fields |
| topic | High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2405.05899 |