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.
Cite
@article{arxiv.2408.06026,
title = {Torus reduction of maximal conformal supergravity},
author = {Franz Ciceri and Axel Kleinschmidt and Subrabalan Murugesan and Bindusar Sahoo},
journal= {arXiv preprint arXiv:2408.06026},
year = {2025}
}
Comments
Minor typos fixed. Some factors in some of the equations have been fixed. Final published version