N $$ \mathcal{N} $$ = 2 AdS4 supergravity, holography and Ward identities
Abstract We develop in detail the holographic framework for an N $$ \mathcal{N} $$ = 2 pure AdS supergravity model in four dimensions, including all the contributions from the fermionic fields and adopting the Fefferman-Graham parametrization. We work in the first order formalism, where the full sup...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2021)141 |
| _version_ | 1818953480909357056 |
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| author | L. Andrianopoli B. L. Cerchiai R. Matrecano O. Miskovic R. Noris R. Olea L. Ravera M. Trigiante |
| author_facet | L. Andrianopoli B. L. Cerchiai R. Matrecano O. Miskovic R. Noris R. Olea L. Ravera M. Trigiante |
| author_sort | L. Andrianopoli |
| collection | DOAJ |
| description | Abstract We develop in detail the holographic framework for an N $$ \mathcal{N} $$ = 2 pure AdS supergravity model in four dimensions, including all the contributions from the fermionic fields and adopting the Fefferman-Graham parametrization. We work in the first order formalism, where the full superconformal structure can be kept manifest in principle, even if only a part of it is realized as a symmetry on the boundary, while the remainder has a non-linear realization. Our study generalizes the results presented in antecedent literature and includes a general discussion of the gauge-fixing conditions on the bulk fields which yield the asymptotic symmetries at the boundary. We construct the corresponding super- conformal currents and show that they satisfy the related Ward identities when the bulk equations of motion are imposed. Consistency of the holographic setup requires the super- AdS curvatures to vanish at the boundary. This determines, in particular, the expression of the super-Schouten tensor of the boundary theory, which generalizes the purely bosonic Schouten tensor of standard gravity by including gravitini bilinears. The same applies to the superpartner of the super-Schouten tensor, the conformino. Furthermore, the vanishing of the supertorsion poses general constraints on the sources of the three-dimensional boundary conformal field theory and requires that the super-Schouten tensor is endowed with an antisymmetric part proportional to a gravitino-squared term. |
| first_indexed | 2024-12-20T10:06:57Z |
| format | Article |
| id | doaj.art-a36aa398132744c7a3adcf1e9b4771d3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T10:06:57Z |
| publishDate | 2021-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a36aa398132744c7a3adcf1e9b4771d32022-12-21T19:44:13ZengSpringerOpenJournal of High Energy Physics1029-84792021-02-012021217010.1007/JHEP02(2021)141N $$ \mathcal{N} $$ = 2 AdS4 supergravity, holography and Ward identitiesL. Andrianopoli0B. L. Cerchiai1R. Matrecano2O. Miskovic3R. Noris4R. Olea5L. Ravera6M. Trigiante7DISAT, Politecnico di TorinoDISAT, Politecnico di TorinoDISAT, Politecnico di TorinoInstituto de Física, Pontificia Universidad Católica de ValparaísoDISAT, Politecnico di TorinoDepartamento de Ciencias Físicas, Universidad Andres BelloDISAT, Politecnico di TorinoDISAT, Politecnico di TorinoAbstract We develop in detail the holographic framework for an N $$ \mathcal{N} $$ = 2 pure AdS supergravity model in four dimensions, including all the contributions from the fermionic fields and adopting the Fefferman-Graham parametrization. We work in the first order formalism, where the full superconformal structure can be kept manifest in principle, even if only a part of it is realized as a symmetry on the boundary, while the remainder has a non-linear realization. Our study generalizes the results presented in antecedent literature and includes a general discussion of the gauge-fixing conditions on the bulk fields which yield the asymptotic symmetries at the boundary. We construct the corresponding super- conformal currents and show that they satisfy the related Ward identities when the bulk equations of motion are imposed. Consistency of the holographic setup requires the super- AdS curvatures to vanish at the boundary. This determines, in particular, the expression of the super-Schouten tensor of the boundary theory, which generalizes the purely bosonic Schouten tensor of standard gravity by including gravitini bilinears. The same applies to the superpartner of the super-Schouten tensor, the conformino. Furthermore, the vanishing of the supertorsion poses general constraints on the sources of the three-dimensional boundary conformal field theory and requires that the super-Schouten tensor is endowed with an antisymmetric part proportional to a gravitino-squared term.https://doi.org/10.1007/JHEP02(2021)141AdS-CFT CorrespondenceSupergravity Models |
| spellingShingle | L. Andrianopoli B. L. Cerchiai R. Matrecano O. Miskovic R. Noris R. Olea L. Ravera M. Trigiante N $$ \mathcal{N} $$ = 2 AdS4 supergravity, holography and Ward identities Journal of High Energy Physics AdS-CFT Correspondence Supergravity Models |
| title | N $$ \mathcal{N} $$ = 2 AdS4 supergravity, holography and Ward identities |
| title_full | N $$ \mathcal{N} $$ = 2 AdS4 supergravity, holography and Ward identities |
| title_fullStr | N $$ \mathcal{N} $$ = 2 AdS4 supergravity, holography and Ward identities |
| title_full_unstemmed | N $$ \mathcal{N} $$ = 2 AdS4 supergravity, holography and Ward identities |
| title_short | N $$ \mathcal{N} $$ = 2 AdS4 supergravity, holography and Ward identities |
| title_sort | n mathcal n 2 ads4 supergravity holography and ward identities |
| topic | AdS-CFT Correspondence Supergravity Models |
| url | https://doi.org/10.1007/JHEP02(2021)141 |
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