Fermionic shift symmetries in (anti) de Sitter space
Abstract We study extended shift symmetries that arise for fermionic fields on anti-de Sitter (AdS) space and de Sitter (dS) space for particular values of the mass relative to the curvature scale. We classify these symmetries for general mixed-symmetry fermionic fields in arbitrary dimension and de...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2024)100 |
| _version_ | 1797199663608102912 |
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| author | James Bonifacio Kurt Hinterbichler |
| author_facet | James Bonifacio Kurt Hinterbichler |
| author_sort | James Bonifacio |
| collection | DOAJ |
| description | Abstract We study extended shift symmetries that arise for fermionic fields on anti-de Sitter (AdS) space and de Sitter (dS) space for particular values of the mass relative to the curvature scale. We classify these symmetries for general mixed-symmetry fermionic fields in arbitrary dimension and describe how fields with these symmetries arise as the decoupled longitudinal modes of massive fermions as they approach partially massless points. For the particular case of AdS4, we look for non-trivial Lie superalgebras that can underly interacting theories that involve these fields. We study from this perspective the minimal such theory, the Akulov-Volkov theory on AdS4, which is a non-linear theory of a spin-1/2 Goldstino field that describes the spontaneous breaking of $$\mathcal{N}$$ = 1 supersymmetry on AdS4 down to the isometries of AdS4. We show how to write the nonlinear supersymmetry transformation for this theory using the fermionic ambient space formalism. We also study the Lie superalgebras of candidate multi-field examples and rule out the existence of a supersymmetric special galileon on AdS4. |
| first_indexed | 2024-04-24T07:19:20Z |
| format | Article |
| id | doaj.art-349b487ddc6c4664bad0590e8509122b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:19:20Z |
| publishDate | 2024-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-349b487ddc6c4664bad0590e8509122b2024-04-21T11:06:49ZengSpringerOpenJournal of High Energy Physics1029-84792024-04-012024413710.1007/JHEP04(2024)100Fermionic shift symmetries in (anti) de Sitter spaceJames Bonifacio0Kurt Hinterbichler1Department of Physics and Astronomy, University of MississippiCERCA, Department of Physics, Case Western Reserve UniversityAbstract We study extended shift symmetries that arise for fermionic fields on anti-de Sitter (AdS) space and de Sitter (dS) space for particular values of the mass relative to the curvature scale. We classify these symmetries for general mixed-symmetry fermionic fields in arbitrary dimension and describe how fields with these symmetries arise as the decoupled longitudinal modes of massive fermions as they approach partially massless points. For the particular case of AdS4, we look for non-trivial Lie superalgebras that can underly interacting theories that involve these fields. We study from this perspective the minimal such theory, the Akulov-Volkov theory on AdS4, which is a non-linear theory of a spin-1/2 Goldstino field that describes the spontaneous breaking of $$\mathcal{N}$$ = 1 supersymmetry on AdS4 down to the isometries of AdS4. We show how to write the nonlinear supersymmetry transformation for this theory using the fermionic ambient space formalism. We also study the Lie superalgebras of candidate multi-field examples and rule out the existence of a supersymmetric special galileon on AdS4.https://doi.org/10.1007/JHEP04(2024)100de Sitter spaceSpace-Time SymmetriesSpontaneous Symmetry BreakingSupersymmetric Effective Theories |
| spellingShingle | James Bonifacio Kurt Hinterbichler Fermionic shift symmetries in (anti) de Sitter space Journal of High Energy Physics de Sitter space Space-Time Symmetries Spontaneous Symmetry Breaking Supersymmetric Effective Theories |
| title | Fermionic shift symmetries in (anti) de Sitter space |
| title_full | Fermionic shift symmetries in (anti) de Sitter space |
| title_fullStr | Fermionic shift symmetries in (anti) de Sitter space |
| title_full_unstemmed | Fermionic shift symmetries in (anti) de Sitter space |
| title_short | Fermionic shift symmetries in (anti) de Sitter space |
| title_sort | fermionic shift symmetries in anti de sitter space |
| topic | de Sitter space Space-Time Symmetries Spontaneous Symmetry Breaking Supersymmetric Effective Theories |
| url | https://doi.org/10.1007/JHEP04(2024)100 |
| work_keys_str_mv | AT jamesbonifacio fermionicshiftsymmetriesinantidesitterspace AT kurthinterbichler fermionicshiftsymmetriesinantidesitterspace |