N $$ \mathcal{N} $$ = 2 extended MacDowell-Mansouri supergravity
Abstract We construct a gauge theory based in the supergroup G = SU(2, 2|2) that generalizes MacDowell-Mansouri supergravity. This is done introducing an extended notion of Hodge operator in the form of an outer automorphism of su(2, 2|2)-valued 2-form tensors. The model closely resembles a Yang-Mil...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2021)176 |
| _version_ | 1818440419657121792 |
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| author | Pedro D. Alvarez Lucas Delage Mauricio Valenzuela Jorge Zanelli |
| author_facet | Pedro D. Alvarez Lucas Delage Mauricio Valenzuela Jorge Zanelli |
| author_sort | Pedro D. Alvarez |
| collection | DOAJ |
| description | Abstract We construct a gauge theory based in the supergroup G = SU(2, 2|2) that generalizes MacDowell-Mansouri supergravity. This is done introducing an extended notion of Hodge operator in the form of an outer automorphism of su(2, 2|2)-valued 2-form tensors. The model closely resembles a Yang-Mills theory — including the action principle, equations of motion and gauge transformations — which avoids the use of the otherwise complicated component formalism. The theory enjoys H = SO(3, 1) × ℝ × U(1) × SU(2) off-shell symmetry whilst the broken symmetries G/H, translation-type symmetries and supersymmetry, can be recovered on surface of integrability conditions of the equations of motion, for which it suffices the Rarita-Schwinger equation and torsion-like constraints to hold. Using the matter ansatz —projecting the 1 ⊗ 1/2 reducible representation into the spin-1/2 irreducible sector — we obtain (chiral) fermion models with gauge and gravity interactions. |
| first_indexed | 2024-12-14T18:12:04Z |
| format | Article |
| id | doaj.art-3fca378bd98e416b91064da6d996ad11 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T18:12:04Z |
| publishDate | 2021-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-3fca378bd98e416b91064da6d996ad112022-12-21T22:52:15ZengSpringerOpenJournal of High Energy Physics1029-84792021-07-012021712910.1007/JHEP07(2021)176N $$ \mathcal{N} $$ = 2 extended MacDowell-Mansouri supergravityPedro D. Alvarez0Lucas Delage1Mauricio Valenzuela2Jorge Zanelli3Departamento de Física, Universidad de AntofagastaInstituto de Matemática y Física, Universidad de TalcaCentro de Estudios Científicos (CECs)Centro de Estudios Científicos (CECs)Abstract We construct a gauge theory based in the supergroup G = SU(2, 2|2) that generalizes MacDowell-Mansouri supergravity. This is done introducing an extended notion of Hodge operator in the form of an outer automorphism of su(2, 2|2)-valued 2-form tensors. The model closely resembles a Yang-Mills theory — including the action principle, equations of motion and gauge transformations — which avoids the use of the otherwise complicated component formalism. The theory enjoys H = SO(3, 1) × ℝ × U(1) × SU(2) off-shell symmetry whilst the broken symmetries G/H, translation-type symmetries and supersymmetry, can be recovered on surface of integrability conditions of the equations of motion, for which it suffices the Rarita-Schwinger equation and torsion-like constraints to hold. Using the matter ansatz —projecting the 1 ⊗ 1/2 reducible representation into the spin-1/2 irreducible sector — we obtain (chiral) fermion models with gauge and gravity interactions.https://doi.org/10.1007/JHEP07(2021)176Classical Theories of GravityGauge SymmetrySupergravity ModelsSupersymmetry Breaking |
| spellingShingle | Pedro D. Alvarez Lucas Delage Mauricio Valenzuela Jorge Zanelli N $$ \mathcal{N} $$ = 2 extended MacDowell-Mansouri supergravity Journal of High Energy Physics Classical Theories of Gravity Gauge Symmetry Supergravity Models Supersymmetry Breaking |
| title | N $$ \mathcal{N} $$ = 2 extended MacDowell-Mansouri supergravity |
| title_full | N $$ \mathcal{N} $$ = 2 extended MacDowell-Mansouri supergravity |
| title_fullStr | N $$ \mathcal{N} $$ = 2 extended MacDowell-Mansouri supergravity |
| title_full_unstemmed | N $$ \mathcal{N} $$ = 2 extended MacDowell-Mansouri supergravity |
| title_short | N $$ \mathcal{N} $$ = 2 extended MacDowell-Mansouri supergravity |
| title_sort | n mathcal n 2 extended macdowell mansouri supergravity |
| topic | Classical Theories of Gravity Gauge Symmetry Supergravity Models Supersymmetry Breaking |
| url | https://doi.org/10.1007/JHEP07(2021)176 |
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