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arXiv · 2408.06026

Torus reduction of maximal conformal supergravity

Franz Ciceri·Axel Kleinschmidt·Subrabalan Murugesan·Bindusar Sahoo
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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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Franz Ciceri, Axel Kleinschmidt, Subrabalan Murugesan, Bindusar Sahoo. 2025-01-02. Torus reduction of maximal conformal supergravity. https://doi.org/10.1007/jhep12(2024)151

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