From N=4 $$ \mathcal{N}=4 $$ Galilean superparticle to three-dimensional non-relativistic N=4 $$ \mathcal{N}=4 $$ superfields
Abstract We consider the general N=4 $$ \mathcal{N}=4 $$, d = 3 Galilean superalgebra with arbitrary central charges and study its dynamical realizations. Using the nonlinear realization techniques, we introduce a class of actions for N=4 $$ \mathcal{N}=4 $$ three-dimensional non-relativistic superp...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP05(2018)019 |
| _version_ | 1818844976390340608 |
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| author | Sergey Fedoruk Evgeny Ivanov Jerzy Lukierski |
| author_facet | Sergey Fedoruk Evgeny Ivanov Jerzy Lukierski |
| author_sort | Sergey Fedoruk |
| collection | DOAJ |
| description | Abstract We consider the general N=4 $$ \mathcal{N}=4 $$, d = 3 Galilean superalgebra with arbitrary central charges and study its dynamical realizations. Using the nonlinear realization techniques, we introduce a class of actions for N=4 $$ \mathcal{N}=4 $$ three-dimensional non-relativistic superparticle, such that they are linear in the central charge Maurer-Cartan one-forms. As a prerequisite to the quantization, we analyze the phase space constraints structure of our model for various choices of the central charges. The first class constraints generate gauge transformations, involving fermionic κ-gauge transformations. The quantization of the model gives rise to the collection of free N=4 $$ \mathcal{N}=4 $$, d = 3 Galilean superfields, which can be further employed, e.g., for description of three-dimensional non-relativistic N=4 $$ \mathcal{N}=4 $$ supersymmetric theories. |
| first_indexed | 2024-12-19T05:22:19Z |
| format | Article |
| id | doaj.art-b9e5044381fc42ad89a6381442a9c1a8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T05:22:19Z |
| publishDate | 2018-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b9e5044381fc42ad89a6381442a9c1a82022-12-21T20:34:28ZengSpringerOpenJournal of High Energy Physics1029-84792018-05-012018514310.1007/JHEP05(2018)019From N=4 $$ \mathcal{N}=4 $$ Galilean superparticle to three-dimensional non-relativistic N=4 $$ \mathcal{N}=4 $$ superfieldsSergey Fedoruk0Evgeny Ivanov1Jerzy Lukierski2Bogoliubov Laboratory of Theoretical Physics, JINRBogoliubov Laboratory of Theoretical Physics, JINRInstitute for Theoretical Physics, University of WroclawAbstract We consider the general N=4 $$ \mathcal{N}=4 $$, d = 3 Galilean superalgebra with arbitrary central charges and study its dynamical realizations. Using the nonlinear realization techniques, we introduce a class of actions for N=4 $$ \mathcal{N}=4 $$ three-dimensional non-relativistic superparticle, such that they are linear in the central charge Maurer-Cartan one-forms. As a prerequisite to the quantization, we analyze the phase space constraints structure of our model for various choices of the central charges. The first class constraints generate gauge transformations, involving fermionic κ-gauge transformations. The quantization of the model gives rise to the collection of free N=4 $$ \mathcal{N}=4 $$, d = 3 Galilean superfields, which can be further employed, e.g., for description of three-dimensional non-relativistic N=4 $$ \mathcal{N}=4 $$ supersymmetric theories.http://link.springer.com/article/10.1007/JHEP05(2018)019Extended SupersymmetrySpace-Time SymmetriesSuperspaces |
| spellingShingle | Sergey Fedoruk Evgeny Ivanov Jerzy Lukierski From N=4 $$ \mathcal{N}=4 $$ Galilean superparticle to three-dimensional non-relativistic N=4 $$ \mathcal{N}=4 $$ superfields Journal of High Energy Physics Extended Supersymmetry Space-Time Symmetries Superspaces |
| title | From N=4 $$ \mathcal{N}=4 $$ Galilean superparticle to three-dimensional non-relativistic N=4 $$ \mathcal{N}=4 $$ superfields |
| title_full | From N=4 $$ \mathcal{N}=4 $$ Galilean superparticle to three-dimensional non-relativistic N=4 $$ \mathcal{N}=4 $$ superfields |
| title_fullStr | From N=4 $$ \mathcal{N}=4 $$ Galilean superparticle to three-dimensional non-relativistic N=4 $$ \mathcal{N}=4 $$ superfields |
| title_full_unstemmed | From N=4 $$ \mathcal{N}=4 $$ Galilean superparticle to three-dimensional non-relativistic N=4 $$ \mathcal{N}=4 $$ superfields |
| title_short | From N=4 $$ \mathcal{N}=4 $$ Galilean superparticle to three-dimensional non-relativistic N=4 $$ \mathcal{N}=4 $$ superfields |
| title_sort | from n 4 mathcal n 4 galilean superparticle to three dimensional non relativistic n 4 mathcal n 4 superfields |
| topic | Extended Supersymmetry Space-Time Symmetries Superspaces |
| url | http://link.springer.com/article/10.1007/JHEP05(2018)019 |
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