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High Energy Physics - Theory, hep-th
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.
