Higher-spin currents and flows in auxiliary field sigma models
Abstract We study local, higher-spin conserved currents in integrable 2d sigma models that have been deformed via coupling to auxiliary fields. These currents generate integrability-preserving flows introduced by Smirnov and Zamolodchikov. For auxiliary field (AF) deformations of a free boson, we pr...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2025)078 |
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| author | Daniele Bielli Christian Ferko Michele Galli Gabriele Tartaglino-Mazzucchelli |
| author_facet | Daniele Bielli Christian Ferko Michele Galli Gabriele Tartaglino-Mazzucchelli |
| author_sort | Daniele Bielli |
| collection | DOAJ |
| description | Abstract We study local, higher-spin conserved currents in integrable 2d sigma models that have been deformed via coupling to auxiliary fields. These currents generate integrability-preserving flows introduced by Smirnov and Zamolodchikov. For auxiliary field (AF) deformations of a free boson, we prove that local spin-n currents exist for all n and give recursion relations that characterize Smirnov-Zamolodchikov (SZ) flows driven by these currents. We then show how to construct spin-2n currents in a unified class of auxiliary field sigma models with common structure — including AF theories based on the principal chiral model (PCM), its non-Abelian T-dual, (bi-)Yang-Baxter deformations of the PCM, and symmetric space models — for interaction functions of one variable, and describe SZ flows driven by any function of the stress tensor in these cases. Finally, we give perturbative solutions for spin-3 SZ flows in any member of our unified class of AF models with underlying su $$ \mathfrak{su} $$ (3) algebra. Part of our analysis shows that the class of AF deformations can be extended by allowing the interaction function to depend on a larger set of variables than has previously been considered. |
| format | Article |
| id | doaj-art-38d9d5da5ca64d4aba1a36c94ae5d8ff |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-38d9d5da5ca64d4aba1a36c94ae5d8ff2025-08-20T03:42:37ZengSpringerOpenJournal of High Energy Physics1029-84792025-08-012025814810.1007/JHEP08(2025)078Higher-spin currents and flows in auxiliary field sigma modelsDaniele Bielli0Christian Ferko1Michele Galli2Gabriele 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 study local, higher-spin conserved currents in integrable 2d sigma models that have been deformed via coupling to auxiliary fields. These currents generate integrability-preserving flows introduced by Smirnov and Zamolodchikov. For auxiliary field (AF) deformations of a free boson, we prove that local spin-n currents exist for all n and give recursion relations that characterize Smirnov-Zamolodchikov (SZ) flows driven by these currents. We then show how to construct spin-2n currents in a unified class of auxiliary field sigma models with common structure — including AF theories based on the principal chiral model (PCM), its non-Abelian T-dual, (bi-)Yang-Baxter deformations of the PCM, and symmetric space models — for interaction functions of one variable, and describe SZ flows driven by any function of the stress tensor in these cases. Finally, we give perturbative solutions for spin-3 SZ flows in any member of our unified class of AF models with underlying su $$ \mathfrak{su} $$ (3) algebra. Part of our analysis shows that the class of AF deformations can be extended by allowing the interaction function to depend on a larger set of variables than has previously been considered.https://doi.org/10.1007/JHEP08(2025)078Field Theories in Lower DimensionsHigher Spin SymmetryIntegrable Field TheoriesSigma Models |
| spellingShingle | Daniele Bielli Christian Ferko Michele Galli Gabriele Tartaglino-Mazzucchelli Higher-spin currents and flows in auxiliary field sigma models Journal of High Energy Physics Field Theories in Lower Dimensions Higher Spin Symmetry Integrable Field Theories Sigma Models |
| title | Higher-spin currents and flows in auxiliary field sigma models |
| title_full | Higher-spin currents and flows in auxiliary field sigma models |
| title_fullStr | Higher-spin currents and flows in auxiliary field sigma models |
| title_full_unstemmed | Higher-spin currents and flows in auxiliary field sigma models |
| title_short | Higher-spin currents and flows in auxiliary field sigma models |
| title_sort | higher spin currents and flows in auxiliary field sigma models |
| topic | Field Theories in Lower Dimensions Higher Spin Symmetry Integrable Field Theories Sigma Models |
| url | https://doi.org/10.1007/JHEP08(2025)078 |
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