Gauged D = 4 N $$ \mathcal{N} $$ = 4 supergravity
Abstract We present the full Lagrangian and supersymmetry transformation rules for the gauged D = 4, N $$ \mathcal{N} $$ = 4 (half-maximal) supergravity coupled to an arbitrary number of vector multiplets. Using the embedding tensor formulation, the final results are universal and valid in arbitrary...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2023)071 |
| _version_ | 1797371213134168064 |
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| author | G. Dall’Agata N. Liatsos R. Noris M. Trigiante |
| author_facet | G. Dall’Agata N. Liatsos R. Noris M. Trigiante |
| author_sort | G. Dall’Agata |
| collection | DOAJ |
| description | Abstract We present the full Lagrangian and supersymmetry transformation rules for the gauged D = 4, N $$ \mathcal{N} $$ = 4 (half-maximal) supergravity coupled to an arbitrary number of vector multiplets. Using the embedding tensor formulation, the final results are universal and valid in arbitrary symplectic frames. We also analyze the conditions for the critical points of the scalar potential and specify the full spectrum of the quadratic fluctuations about Minkowski vacua. This allows us also to exclude the appearance of quadratic divergences in the 1-loop corrections to the scalar potential for any Minkowski vacuum fully breaking supersymmetry. We also provide some interesting byproducts of our analysis, like the field equations and the quadratic constraints for the fermion shifts characterizing the gauging (also known as T-tensor identities). |
| first_indexed | 2024-03-08T18:16:39Z |
| format | Article |
| id | doaj.art-73dcad42a1b44cfb8ce1d47dab2c973f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T18:16:39Z |
| publishDate | 2023-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-73dcad42a1b44cfb8ce1d47dab2c973f2023-12-31T12:06:51ZengSpringerOpenJournal of High Energy Physics1029-84792023-09-012023918410.1007/JHEP09(2023)071Gauged D = 4 N $$ \mathcal{N} $$ = 4 supergravityG. Dall’Agata0N. Liatsos1R. Noris2M. Trigiante3Dipartimento di Fisica e Astronomia “Galileo Galilei”, Università di PadovaPhysics Division, National Technical University of AthensCEICO, Institute of Physics of the Czech Academy of SciencesDipartimento di Scienza Applicata e Tecnologia (DISAT), Politecnico di TorinoAbstract We present the full Lagrangian and supersymmetry transformation rules for the gauged D = 4, N $$ \mathcal{N} $$ = 4 (half-maximal) supergravity coupled to an arbitrary number of vector multiplets. Using the embedding tensor formulation, the final results are universal and valid in arbitrary symplectic frames. We also analyze the conditions for the critical points of the scalar potential and specify the full spectrum of the quadratic fluctuations about Minkowski vacua. This allows us also to exclude the appearance of quadratic divergences in the 1-loop corrections to the scalar potential for any Minkowski vacuum fully breaking supersymmetry. We also provide some interesting byproducts of our analysis, like the field equations and the quadratic constraints for the fermion shifts characterizing the gauging (also known as T-tensor identities).https://doi.org/10.1007/JHEP09(2023)071Extended SupersymmetrySupergravity ModelsSuperspaces |
| spellingShingle | G. Dall’Agata N. Liatsos R. Noris M. Trigiante Gauged D = 4 N $$ \mathcal{N} $$ = 4 supergravity Journal of High Energy Physics Extended Supersymmetry Supergravity Models Superspaces |
| title | Gauged D = 4 N $$ \mathcal{N} $$ = 4 supergravity |
| title_full | Gauged D = 4 N $$ \mathcal{N} $$ = 4 supergravity |
| title_fullStr | Gauged D = 4 N $$ \mathcal{N} $$ = 4 supergravity |
| title_full_unstemmed | Gauged D = 4 N $$ \mathcal{N} $$ = 4 supergravity |
| title_short | Gauged D = 4 N $$ \mathcal{N} $$ = 4 supergravity |
| title_sort | gauged d 4 n mathcal n 4 supergravity |
| topic | Extended Supersymmetry Supergravity Models Superspaces |
| url | https://doi.org/10.1007/JHEP09(2023)071 |
| work_keys_str_mv | AT gdallagata gaugedd4nmathcaln4supergravity AT nliatsos gaugedd4nmathcaln4supergravity AT rnoris gaugedd4nmathcaln4supergravity AT mtrigiante gaugedd4nmathcaln4supergravity |