Auxiliary field deformations of (semi-)symmetric space sigma models
Abstract We generalize the auxiliary field deformations of the principal chiral model (PCM) introduced in [1] and [2] 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 classicall...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)096 |
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| _version_ | 1823863457198374912 |
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| author | Daniele Bielli Christian Ferko Liam Smith Gabriele Tartaglino-Mazzucchelli |
| author_facet | Daniele Bielli Christian Ferko Liam Smith Gabriele Tartaglino-Mazzucchelli |
| author_sort | Daniele Bielli |
| collection | DOAJ |
| description | Abstract We generalize the auxiliary field deformations of the principal chiral model (PCM) introduced in [1] and [2] 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 ℤ2 and ℤ4 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 | Article |
| id | doaj-art-2a60caeceb9f413b801487a8b3347c8a |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-2a60caeceb9f413b801487a8b3347c8a2025-02-09T12:08:09ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025114210.1007/JHEP01(2025)096Auxiliary field deformations of (semi-)symmetric space sigma modelsDaniele Bielli0Christian Ferko1Liam Smith2Gabriele Tartaglino-Mazzucchelli3High Energy Physics Research Unit, Faculty of Science, Chulalongkorn UniversityDepartment of Physics, Northeastern UniversitySchool of Mathematics and Physics, University of QueenslandSchool of Mathematics and Physics, University of QueenslandAbstract We generalize the auxiliary field deformations of the principal chiral model (PCM) introduced in [1] and [2] 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 ℤ2 and ℤ4 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.https://doi.org/10.1007/JHEP01(2025)096Field Theories in Lower DimensionsIntegrable Field TheoriesSigma Models |
| spellingShingle | Daniele Bielli Christian Ferko Liam Smith Gabriele Tartaglino-Mazzucchelli Auxiliary field deformations of (semi-)symmetric space sigma models Journal of High Energy Physics Field Theories in Lower Dimensions Integrable Field Theories Sigma Models |
| title | Auxiliary field deformations of (semi-)symmetric space sigma models |
| title_full | Auxiliary field deformations of (semi-)symmetric space sigma models |
| title_fullStr | Auxiliary field deformations of (semi-)symmetric space sigma models |
| title_full_unstemmed | Auxiliary field deformations of (semi-)symmetric space sigma models |
| title_short | Auxiliary field deformations of (semi-)symmetric space sigma models |
| title_sort | auxiliary field deformations of semi symmetric space sigma models |
| topic | Field Theories in Lower Dimensions Integrable Field Theories Sigma Models |
| url | https://doi.org/10.1007/JHEP01(2025)096 |
| work_keys_str_mv | AT danielebielli auxiliaryfielddeformationsofsemisymmetricspacesigmamodels AT christianferko auxiliaryfielddeformationsofsemisymmetricspacesigmamodels AT liamsmith auxiliaryfielddeformationsofsemisymmetricspacesigmamodels AT gabrieletartaglinomazzucchelli auxiliaryfielddeformationsofsemisymmetricspacesigmamodels |