Hyperdilaton Weyl multiplet of 4D, N = 2 conformal supergravity
Abstract
We define a new dilaton Weyl multiplet of N = 2 conformal supergravity in four dimensions. This is constructed by reinterpreting the equations of motion of an onshell hypermultiplet as constraints that render some of the fields of the standard Weyl multiplet composite. The independent bosonic components include four scalar fields and a triplet of gauge twoforms. The resulting, socalled, hyperdilaton Weyl multiplet defines a 24 + 24 offshell representation of the local N = 2 superconformal algebra. By coupling the hyperdilaton Weyl multiplet to an offshell vector multiplet compensator, we obtain one of the two minimal 32 + 32 offshell multiplets of N = 2 Poincaré supergravity constructed by Müller in 1986. Onshell, this contains the minimal N = 2 Poincaré supergravity multiplet together with a hypermultiplet where one of its physical scalars plays the role of a dilaton, while its three other scalars are dualised to a triplet of real gauge twoforms. Interestingly, a BFcoupling induces a scalar potential for the dilaton without a standard gauging.
 Publication:

Journal of High Energy Physics
 Pub Date:
 September 2022
 DOI:
 10.1007/JHEP09(2022)016
 arXiv:
 arXiv:2203.12203
 Bibcode:
 2022JHEP...09..016G
 Keywords:

 Extended Supersymmetry;
 Supergravity Models;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Mathematical Physics
 EPrint:
 v2: 36 pages, version published in JHEP