Dual description of η-deformed OSP sigma models
Abstract We study the dual description of the η-deformed OSP(N|2m) sigma model in the asymptotically free regime (N > 2m + 2). Compared to the case of classical Lie groups, for supergroups there are inequivalent η-deformations corresponding to different choices of simple roots. For a class of suc...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2020)040 |
| _version_ | 1819059945865216000 |
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| author | Mikhail Alfimov Boris Feigin Ben Hoare Alexey Litvinov |
| author_facet | Mikhail Alfimov Boris Feigin Ben Hoare Alexey Litvinov |
| author_sort | Mikhail Alfimov |
| collection | DOAJ |
| description | Abstract We study the dual description of the η-deformed OSP(N|2m) sigma model in the asymptotically free regime (N > 2m + 2). Compared to the case of classical Lie groups, for supergroups there are inequivalent η-deformations corresponding to different choices of simple roots. For a class of such deformations we propose the system of screening charges depending on a continuous parameter b, which defines the η-deformed OSP(N|2m) sigma model in the limit b → ∞ and a certain Toda QFT as b → 0. In the sigma model regime we show that the leading UV asymptotic of the η-deformed model coincides with a perturbed Gaussian theory. In the perturbative regime b → 0 we show that the tree-level two-particle scattering matrix matches the expansion of the trigonometric OSP(N|2m) S-matrix. |
| first_indexed | 2024-12-21T14:19:10Z |
| format | Article |
| id | doaj.art-9194044238344c08843c0a51e1a8d683 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T14:19:10Z |
| publishDate | 2020-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-9194044238344c08843c0a51e1a8d6832022-12-21T19:00:50ZengSpringerOpenJournal of High Energy Physics1029-84792020-12-0120201214610.1007/JHEP12(2020)040Dual description of η-deformed OSP sigma modelsMikhail Alfimov0Boris Feigin1Ben Hoare2Alexey Litvinov3National Research University Higher School of EconomicsNational Research University Higher School of EconomicsDepartment of Mathematical Sciences, Durham UniversityLandau Institute for Theoretical PhysicsAbstract We study the dual description of the η-deformed OSP(N|2m) sigma model in the asymptotically free regime (N > 2m + 2). Compared to the case of classical Lie groups, for supergroups there are inequivalent η-deformations corresponding to different choices of simple roots. For a class of such deformations we propose the system of screening charges depending on a continuous parameter b, which defines the η-deformed OSP(N|2m) sigma model in the limit b → ∞ and a certain Toda QFT as b → 0. In the sigma model regime we show that the leading UV asymptotic of the η-deformed model coincides with a perturbed Gaussian theory. In the perturbative regime b → 0 we show that the tree-level two-particle scattering matrix matches the expansion of the trigonometric OSP(N|2m) S-matrix.https://doi.org/10.1007/JHEP12(2020)040Integrable Field TheoriesSigma Models |
| spellingShingle | Mikhail Alfimov Boris Feigin Ben Hoare Alexey Litvinov Dual description of η-deformed OSP sigma models Journal of High Energy Physics Integrable Field Theories Sigma Models |
| title | Dual description of η-deformed OSP sigma models |
| title_full | Dual description of η-deformed OSP sigma models |
| title_fullStr | Dual description of η-deformed OSP sigma models |
| title_full_unstemmed | Dual description of η-deformed OSP sigma models |
| title_short | Dual description of η-deformed OSP sigma models |
| title_sort | dual description of η deformed osp sigma models |
| topic | Integrable Field Theories Sigma Models |
| url | https://doi.org/10.1007/JHEP12(2020)040 |
| work_keys_str_mv | AT mikhailalfimov dualdescriptionofēdeformedospsigmamodels AT borisfeigin dualdescriptionofēdeformedospsigmamodels AT benhoare dualdescriptionofēdeformedospsigmamodels AT alexeylitvinov dualdescriptionofēdeformedospsigmamodels |