Torus reduction of maximal conformal supergravity
Abstract We consider the dimensional reduction of N = (2, 0) conformal supergravity in six dimensions on a two-torus to N = 4 conformal supergravity in four dimensions. At the level of kinematics, the six-dimensional Weyl multiplet is shown to reduce to a mixture of the N = 4 Weyl and vector multipl...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)151 |
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| author | Franz Ciceri Axel Kleinschmidt Subrabalan Murugesan Bindusar Sahoo |
| author_facet | Franz Ciceri Axel Kleinschmidt Subrabalan Murugesan Bindusar Sahoo |
| author_sort | Franz Ciceri |
| collection | DOAJ |
| description | Abstract We consider the dimensional reduction of N = (2, 0) conformal supergravity in six dimensions on a two-torus to N = 4 conformal supergravity in four dimensions. At the level of kinematics, the six-dimensional Weyl multiplet is shown to reduce to a mixture of the N = 4 Weyl and vector multiplets, which can be reinterpreted as a new off-shell multiplet of N = 4 conformal supergravity. Similar multiplets have been constructed in other settings and are referred to as dilaton Weyl multiplets. We derive it here for the first time in a maximally supersymmetric context in four dimensions. Furthermore, we present the non-linear relations between all the six- and four-dimensional bosonic and fermionic fields, that are obtained by comparing the off-shell supersymmetry transformation rules. |
| format | Article |
| id | doaj-art-77785d6ff3de4840bf978e0dbb555971 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-77785d6ff3de4840bf978e0dbb5559712025-01-05T12:07:00ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241213010.1007/JHEP12(2024)151Torus reduction of maximal conformal supergravityFranz Ciceri0Axel Kleinschmidt1Subrabalan Murugesan2Bindusar Sahoo3ENSL, Laboratoire de physiqueMax Planck Institute for Gravitational Physics (Albert Einstein Institute), Potsdam Science ParkSchool of Physics, Indian Institute of Science Education and Research ThiruvananthapuramSchool of Physics, Indian Institute of Science Education and Research ThiruvananthapuramAbstract We consider the dimensional reduction of N = (2, 0) conformal supergravity in six dimensions on a two-torus to N = 4 conformal supergravity in four dimensions. At the level of kinematics, the six-dimensional Weyl multiplet is shown to reduce to a mixture of the N = 4 Weyl and vector multiplets, which can be reinterpreted as a new off-shell multiplet of N = 4 conformal supergravity. Similar multiplets have been constructed in other settings and are referred to as dilaton Weyl multiplets. We derive it here for the first time in a maximally supersymmetric context in four dimensions. Furthermore, we present the non-linear relations between all the six- and four-dimensional bosonic and fermionic fields, that are obtained by comparing the off-shell supersymmetry transformation rules.https://doi.org/10.1007/JHEP12(2024)151Extended SupersymmetrySupergravity Models |
| spellingShingle | Franz Ciceri Axel Kleinschmidt Subrabalan Murugesan Bindusar Sahoo Torus reduction of maximal conformal supergravity Journal of High Energy Physics Extended Supersymmetry Supergravity Models |
| title | Torus reduction of maximal conformal supergravity |
| title_full | Torus reduction of maximal conformal supergravity |
| title_fullStr | Torus reduction of maximal conformal supergravity |
| title_full_unstemmed | Torus reduction of maximal conformal supergravity |
| title_short | Torus reduction of maximal conformal supergravity |
| title_sort | torus reduction of maximal conformal supergravity |
| topic | Extended Supersymmetry Supergravity Models |
| url | https://doi.org/10.1007/JHEP12(2024)151 |
| work_keys_str_mv | AT franzciceri torusreductionofmaximalconformalsupergravity AT axelkleinschmidt torusreductionofmaximalconformalsupergravity AT subrabalanmurugesan torusreductionofmaximalconformalsupergravity AT bindusarsahoo torusreductionofmaximalconformalsupergravity |