Noether-Wald charge in supergravity: the fermionic contribution
Abstract We study the invariance of N $$ \mathcal{N} $$ = 1, d = 4 supergravity solutions under diffeormophisms and show that, in order to obtain consistent conditions (“Killing equations”) invariant under local supersymmetry transformations, one has to perform supersymmetry transformations generate...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2023)095 |
| _version_ | 1797233837313359872 |
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| author | Igor Bandos Tomás Ortín |
| author_facet | Igor Bandos Tomás Ortín |
| author_sort | Igor Bandos |
| collection | DOAJ |
| description | Abstract We study the invariance of N $$ \mathcal{N} $$ = 1, d = 4 supergravity solutions under diffeormophisms and show that, in order to obtain consistent conditions (“Killing equations”) invariant under local supersymmetry transformations, one has to perform supersymmetry transformations generated by the superpartner of the vector that generates standard diffeomorphisms, just as a superspace analysis indicates. Using these transformations, we construct a Noether-Wald charge of N $$ \mathcal{N} $$ = 1, d = 4 supergravity with fermionic contributions which is diff- Lorentz- and supersymmetry-invariant (up to a total derivative). |
| first_indexed | 2024-03-08T22:42:27Z |
| format | Article |
| id | doaj.art-8aa9b22267c04ba9b7b57803b1c89ca8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T16:22:31Z |
| publishDate | 2023-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8aa9b22267c04ba9b7b57803b1c89ca82024-03-31T11:08:36ZengSpringerOpenJournal of High Energy Physics1029-84792023-12-0120231212410.1007/JHEP12(2023)095Noether-Wald charge in supergravity: the fermionic contributionIgor Bandos0Tomás Ortín1Department of Physics and EHU Quantum Center, University of the Basque Country UPV/EHUInstituto de Física Teórica UAM/CSICAbstract We study the invariance of N $$ \mathcal{N} $$ = 1, d = 4 supergravity solutions under diffeormophisms and show that, in order to obtain consistent conditions (“Killing equations”) invariant under local supersymmetry transformations, one has to perform supersymmetry transformations generated by the superpartner of the vector that generates standard diffeomorphisms, just as a superspace analysis indicates. Using these transformations, we construct a Noether-Wald charge of N $$ \mathcal{N} $$ = 1, d = 4 supergravity with fermionic contributions which is diff- Lorentz- and supersymmetry-invariant (up to a total derivative).https://doi.org/10.1007/JHEP12(2023)095Supergravity ModelsSuperspacesClassical Theories of Gravity |
| spellingShingle | Igor Bandos Tomás Ortín Noether-Wald charge in supergravity: the fermionic contribution Journal of High Energy Physics Supergravity Models Superspaces Classical Theories of Gravity |
| title | Noether-Wald charge in supergravity: the fermionic contribution |
| title_full | Noether-Wald charge in supergravity: the fermionic contribution |
| title_fullStr | Noether-Wald charge in supergravity: the fermionic contribution |
| title_full_unstemmed | Noether-Wald charge in supergravity: the fermionic contribution |
| title_short | Noether-Wald charge in supergravity: the fermionic contribution |
| title_sort | noether wald charge in supergravity the fermionic contribution |
| topic | Supergravity Models Superspaces Classical Theories of Gravity |
| url | https://doi.org/10.1007/JHEP12(2023)095 |
| work_keys_str_mv | AT igorbandos noetherwaldchargeinsupergravitythefermioniccontribution AT tomasortin noetherwaldchargeinsupergravitythefermioniccontribution |