Torus reduction of maximal conformal supergravity
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913650490474496 |
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| author | Ciceri, Franz Kleinschmidt, Axel Murugesan, Subrabalan Sahoo, Bindusar |
| author_facet | Ciceri, Franz Kleinschmidt, Axel Murugesan, Subrabalan Sahoo, Bindusar |
| contents | 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_06026 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Torus reduction of maximal conformal supergravity Ciceri, Franz Kleinschmidt, Axel Murugesan, Subrabalan Sahoo, Bindusar High Energy Physics - Theory 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. |
| title | Torus reduction of maximal conformal supergravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.06026 |