Bi-Yang-Baxter models and Sl(2)-orbits
Abstract We study integrable deformations of two-dimensional non-linear σ-models and present a new class of classical solutions to critical bi-Yang-Baxter models for general groups. For the simplest example, namely the SL(2, ℝ) bi-Yang-Baxter model, we show that our solutions can be mapped to the kn...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2023)123 |
| _version_ | 1797199786867163136 |
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| author | Thomas W. Grimm Jeroen Monnee |
| author_facet | Thomas W. Grimm Jeroen Monnee |
| author_sort | Thomas W. Grimm |
| collection | DOAJ |
| description | Abstract We study integrable deformations of two-dimensional non-linear σ-models and present a new class of classical solutions to critical bi-Yang-Baxter models for general groups. For the simplest example, namely the SL(2, ℝ) bi-Yang-Baxter model, we show that our solutions can be mapped to the known complex uniton solutions of the SU(2) bi-Yang-Baxter model. In general, our solutions are constructed from so-called Sl(2)-orbits that play a central role in the study of asymptotic Hodge theory. This provides further evidence for a close relation between integrable non-linear σ-models and the mathematical principles underlying Hodge theory. We have also included a basic introduction to the relevant aspects of asymptotic Hodge theory and have provided some simple examples. |
| first_indexed | 2024-03-09T15:32:28Z |
| format | Article |
| id | doaj.art-b8bdfda274cb4fcf891f806a7f091933 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:21:18Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b8bdfda274cb4fcf891f806a7f0919332024-04-21T11:05:19ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231113610.1007/JHEP11(2023)123Bi-Yang-Baxter models and Sl(2)-orbitsThomas W. Grimm0Jeroen Monnee1Institute for Theoretical Physics, Utrecht UniversityInstitute for Theoretical Physics, Utrecht UniversityAbstract We study integrable deformations of two-dimensional non-linear σ-models and present a new class of classical solutions to critical bi-Yang-Baxter models for general groups. For the simplest example, namely the SL(2, ℝ) bi-Yang-Baxter model, we show that our solutions can be mapped to the known complex uniton solutions of the SU(2) bi-Yang-Baxter model. In general, our solutions are constructed from so-called Sl(2)-orbits that play a central role in the study of asymptotic Hodge theory. This provides further evidence for a close relation between integrable non-linear σ-models and the mathematical principles underlying Hodge theory. We have also included a basic introduction to the relevant aspects of asymptotic Hodge theory and have provided some simple examples.https://doi.org/10.1007/JHEP11(2023)123Integrable Field TheoriesDifferential and Algebraic Geometry |
| spellingShingle | Thomas W. Grimm Jeroen Monnee Bi-Yang-Baxter models and Sl(2)-orbits Journal of High Energy Physics Integrable Field Theories Differential and Algebraic Geometry |
| title | Bi-Yang-Baxter models and Sl(2)-orbits |
| title_full | Bi-Yang-Baxter models and Sl(2)-orbits |
| title_fullStr | Bi-Yang-Baxter models and Sl(2)-orbits |
| title_full_unstemmed | Bi-Yang-Baxter models and Sl(2)-orbits |
| title_short | Bi-Yang-Baxter models and Sl(2)-orbits |
| title_sort | bi yang baxter models and sl 2 orbits |
| topic | Integrable Field Theories Differential and Algebraic Geometry |
| url | https://doi.org/10.1007/JHEP11(2023)123 |
| work_keys_str_mv | AT thomaswgrimm biyangbaxtermodelsandsl2orbits AT jeroenmonnee biyangbaxtermodelsandsl2orbits |