Bianchi type-V spinning particle on S $$ \mathcal{S} $$ 2
Abstract Integrable spinning extension of a free particle on S $$ \mathcal{S} $$ 2 is constructed in which spin degrees of freedom are represented by a 3-vector obeying the Bianchi type-V algebra. Generalizations involving a scalar potential giving rise to two quadratic constants of the motion, or e...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-03-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP03(2020)143 |
| _version_ | 1819116940873957376 |
|---|---|
| author | Anton Galajinsky |
| author_facet | Anton Galajinsky |
| author_sort | Anton Galajinsky |
| collection | DOAJ |
| description | Abstract Integrable spinning extension of a free particle on S $$ \mathcal{S} $$ 2 is constructed in which spin degrees of freedom are represented by a 3-vector obeying the Bianchi type-V algebra. Generalizations involving a scalar potential giving rise to two quadratic constants of the motion, or external field of the Dirac monopole, or the motion on the group manifold of SU(2) are built. A link to the model of a relativistic spinning particle propagating on the near horizon 7d Myers-Perry black hole background is considered. Implications of the construction in this work for the D(2, 1; α) superconformal mechanics are discussed. |
| first_indexed | 2024-12-22T05:25:05Z |
| format | Article |
| id | doaj.art-1d14ec79c7ed455ca62702779ff328c7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T05:25:05Z |
| publishDate | 2020-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-1d14ec79c7ed455ca62702779ff328c72022-12-21T18:37:36ZengSpringerOpenJournal of High Energy Physics1029-84792020-03-012020311210.1007/JHEP03(2020)143Bianchi type-V spinning particle on S $$ \mathcal{S} $$ 2Anton Galajinsky0Tomsk Polytechnic UniversityAbstract Integrable spinning extension of a free particle on S $$ \mathcal{S} $$ 2 is constructed in which spin degrees of freedom are represented by a 3-vector obeying the Bianchi type-V algebra. Generalizations involving a scalar potential giving rise to two quadratic constants of the motion, or external field of the Dirac monopole, or the motion on the group manifold of SU(2) are built. A link to the model of a relativistic spinning particle propagating on the near horizon 7d Myers-Perry black hole background is considered. Implications of the construction in this work for the D(2, 1; α) superconformal mechanics are discussed.http://link.springer.com/article/10.1007/JHEP03(2020)143Black HolesExtended SupersymmetryIntegrable Field Theories |
| spellingShingle | Anton Galajinsky Bianchi type-V spinning particle on S $$ \mathcal{S} $$ 2 Journal of High Energy Physics Black Holes Extended Supersymmetry Integrable Field Theories |
| title | Bianchi type-V spinning particle on S $$ \mathcal{S} $$ 2 |
| title_full | Bianchi type-V spinning particle on S $$ \mathcal{S} $$ 2 |
| title_fullStr | Bianchi type-V spinning particle on S $$ \mathcal{S} $$ 2 |
| title_full_unstemmed | Bianchi type-V spinning particle on S $$ \mathcal{S} $$ 2 |
| title_short | Bianchi type-V spinning particle on S $$ \mathcal{S} $$ 2 |
| title_sort | bianchi type v spinning particle on s mathcal s 2 |
| topic | Black Holes Extended Supersymmetry Integrable Field Theories |
| url | http://link.springer.com/article/10.1007/JHEP03(2020)143 |
| work_keys_str_mv | AT antongalajinsky bianchitypevspinningparticleonsmathcals2 |