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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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2024)151 |
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| Summary: | 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. |
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| ISSN: | 1029-8479 |