Three-dimensional higher-order Schrödinger algebras and Lie algebra expansions
Abstract We provide a Lie algebra expansion procedure to construct three-dimensional higher-order Schrödinger algebras which relies on a particular subalgebra of the four-dimensional relativistic conformal algebra. In particular, we reproduce the extended Schrödinger algebra and provide a new higher...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-04-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP04(2020)067 |
| _version_ | 1811289373287645184 |
|---|---|
| author | Oguzhan Kasikci Nese Ozdemir Mehmet Ozkan Utku Zorba |
| author_facet | Oguzhan Kasikci Nese Ozdemir Mehmet Ozkan Utku Zorba |
| author_sort | Oguzhan Kasikci |
| collection | DOAJ |
| description | Abstract We provide a Lie algebra expansion procedure to construct three-dimensional higher-order Schrödinger algebras which relies on a particular subalgebra of the four-dimensional relativistic conformal algebra. In particular, we reproduce the extended Schrödinger algebra and provide a new higher-order Schrödinger algebra. The structure of this new algebra leads to a discussion on the uniqueness of the higher-order non-relativistic algebras. Especially, we show that the recent d-dimensional symmetry algebra of an action principle for Newtonian gravity is not uniquely defined but can accommodate three discrete parameters. For a particular choice of these parameters, the Bargmann algebra becomes a subalgebra of that extended algebra which allows one to introduce a mass current in a Bargmann-invariant sense to the extended theory. |
| first_indexed | 2024-04-13T03:53:44Z |
| format | Article |
| id | doaj.art-d4bf760830a5416bbed2517e125835d7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T03:53:44Z |
| publishDate | 2020-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d4bf760830a5416bbed2517e125835d72022-12-22T03:03:42ZengSpringerOpenJournal of High Energy Physics1029-84792020-04-012020411810.1007/JHEP04(2020)067Three-dimensional higher-order Schrödinger algebras and Lie algebra expansionsOguzhan Kasikci0Nese Ozdemir1Mehmet Ozkan2Utku Zorba3Department of Physics, Istanbul Technical UniversityDepartment of Physics, Istanbul Technical UniversityDepartment of Physics, Istanbul Technical UniversityDepartment of Physics, Istanbul Technical UniversityAbstract We provide a Lie algebra expansion procedure to construct three-dimensional higher-order Schrödinger algebras which relies on a particular subalgebra of the four-dimensional relativistic conformal algebra. In particular, we reproduce the extended Schrödinger algebra and provide a new higher-order Schrödinger algebra. The structure of this new algebra leads to a discussion on the uniqueness of the higher-order non-relativistic algebras. Especially, we show that the recent d-dimensional symmetry algebra of an action principle for Newtonian gravity is not uniquely defined but can accommodate three discrete parameters. For a particular choice of these parameters, the Bargmann algebra becomes a subalgebra of that extended algebra which allows one to introduce a mass current in a Bargmann-invariant sense to the extended theory.http://link.springer.com/article/10.1007/JHEP04(2020)067Chern-Simons TheoriesClassical Theories of GravitySpace-Time Symmetries |
| spellingShingle | Oguzhan Kasikci Nese Ozdemir Mehmet Ozkan Utku Zorba Three-dimensional higher-order Schrödinger algebras and Lie algebra expansions Journal of High Energy Physics Chern-Simons Theories Classical Theories of Gravity Space-Time Symmetries |
| title | Three-dimensional higher-order Schrödinger algebras and Lie algebra expansions |
| title_full | Three-dimensional higher-order Schrödinger algebras and Lie algebra expansions |
| title_fullStr | Three-dimensional higher-order Schrödinger algebras and Lie algebra expansions |
| title_full_unstemmed | Three-dimensional higher-order Schrödinger algebras and Lie algebra expansions |
| title_short | Three-dimensional higher-order Schrödinger algebras and Lie algebra expansions |
| title_sort | three dimensional higher order schrodinger algebras and lie algebra expansions |
| topic | Chern-Simons Theories Classical Theories of Gravity Space-Time Symmetries |
| url | http://link.springer.com/article/10.1007/JHEP04(2020)067 |
| work_keys_str_mv | AT oguzhankasikci threedimensionalhigherorderschrodingeralgebrasandliealgebraexpansions AT neseozdemir threedimensionalhigherorderschrodingeralgebrasandliealgebraexpansions AT mehmetozkan threedimensionalhigherorderschrodingeralgebrasandliealgebraexpansions AT utkuzorba threedimensionalhigherorderschrodingeralgebrasandliealgebraexpansions |