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 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.

Minor typos fixed. Some factors in some of the equations have been fixed. Final published version

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Cited by in corpus (5)

• $SU(2)\times SU(2)$ dilaton Weyl multiplets for maximal conformal supergravity in four, five, and six dimensions
• Dilaton Weyl multiplets for $N=3$ conformal supergravity in four dimensions
• Scalar-Tensor multiplet in four dimensional N=2 conformal supergravity
• Only Flat Spacetime is Full BPS in Four Dimensional N=3 and N=4 Supergravity
• Variant dilaton Weyl Multiplet for N=3 conformal supergravity in four dimensions