On the space of 2d integrable models
Abstract We study infinite dimensional Lie algebras, whose infinite dimensional mutually commuting subalgebras correspond with the symmetry algebra of 2d integrable models. These Lie algebras are defined by the set of infinitesimal, nonlinear, and higher derivative symmetry transformations present i...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2025)138 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823863464945254400 |
|---|---|
| author | Lukas W. Lindwasser |
| author_facet | Lukas W. Lindwasser |
| author_sort | Lukas W. Lindwasser |
| collection | DOAJ |
| description | Abstract We study infinite dimensional Lie algebras, whose infinite dimensional mutually commuting subalgebras correspond with the symmetry algebra of 2d integrable models. These Lie algebras are defined by the set of infinitesimal, nonlinear, and higher derivative symmetry transformations present in theories with a left(right)-moving or (anti)-holomorphic current. We study a large class of such Lagrangian theories. We study the commuting subalgebras of the 2d free massless scalar, and find the symmetries of the known integrable models such as sine-Gordon, Liouville, Bullough-Dodd, and Korteweg-de Vries. Along the way, we find several new sequences of commuting charges, which we conjecture are charges of integrable models which are new deformations of a single scalar. After quantizing, the Lie algebra is deformed, and so are their commuting subalgebras. |
| format | Article |
| id | doaj-art-6309a0bd020c40e7ac59f530f31bfa13 |
| 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-6309a0bd020c40e7ac59f530f31bfa132025-02-09T12:07:47ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025114710.1007/JHEP01(2025)138On the space of 2d integrable modelsLukas W. Lindwasser0Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of CaliforniaAbstract We study infinite dimensional Lie algebras, whose infinite dimensional mutually commuting subalgebras correspond with the symmetry algebra of 2d integrable models. These Lie algebras are defined by the set of infinitesimal, nonlinear, and higher derivative symmetry transformations present in theories with a left(right)-moving or (anti)-holomorphic current. We study a large class of such Lagrangian theories. We study the commuting subalgebras of the 2d free massless scalar, and find the symmetries of the known integrable models such as sine-Gordon, Liouville, Bullough-Dodd, and Korteweg-de Vries. Along the way, we find several new sequences of commuting charges, which we conjecture are charges of integrable models which are new deformations of a single scalar. After quantizing, the Lie algebra is deformed, and so are their commuting subalgebras.https://doi.org/10.1007/JHEP01(2025)138Integrable Field TheoriesIntegrable HierarchiesHigher Spin Symmetry |
| spellingShingle | Lukas W. Lindwasser On the space of 2d integrable models Journal of High Energy Physics Integrable Field Theories Integrable Hierarchies Higher Spin Symmetry |
| title | On the space of 2d integrable models |
| title_full | On the space of 2d integrable models |
| title_fullStr | On the space of 2d integrable models |
| title_full_unstemmed | On the space of 2d integrable models |
| title_short | On the space of 2d integrable models |
| title_sort | on the space of 2d integrable models |
| topic | Integrable Field Theories Integrable Hierarchies Higher Spin Symmetry |
| url | https://doi.org/10.1007/JHEP01(2025)138 |
| work_keys_str_mv | AT lukaswlindwasser onthespaceof2dintegrablemodels |