Torus reduction of maximal conformal supergravity

Ciceri, Franz; Kleinschmidt, Axel; Murugesan, Subrabalan; Sahoo, Bindusar

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Torus reduction of maximal conformal supergravity

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Kleinschmidt, Axel
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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2408.06026.pdf
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Citation

Ciceri, F., Kleinschmidt, A., Murugesan, S., & Sahoo, B. (in preparation). Torus reduction of maximal conformal supergravity.

Cite as: https://hdl.handle.net/21.11116/0000-000F-DB40-2

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.