Noether-Wald charge in supergravity: the fermionic contribution

We study the invariance of 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 th...

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Detalhes bibliográficos
Autores: Bandos, Igor A., Ortín, Tomás
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/348269
Acesso em linha:http://hdl.handle.net/10261/348269
https://api.elsevier.com/content/abstract/scopus_id/85179686818
Access Level:acceso abierto
Palavra-chave:Classical Theories of Gravity
Supergravity models
Superspaces
Descrição
Resumo:We study the invariance of 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 = 1, d = 4 supergravity with fermionic contributions which is diff- Lorentz- and supersymmetry-invariant (up to a total derivative).