Relaxed hypermultiplet in four dimensional N=2 conformal supergravity
Abstract
Superconformal matter multiplets play a crucial role in the construction of Poincare supergravity invariants. Off-shell multiplets allow for construction of general matter couplings in supergravity. In Nucl. Phys. B214 (1983) 519-531, relaxed hypermultiplet was constructed in rigid supersymmetry which on coupling with the real scalar multiplet allowed for an off-shell formulation of the rigid hypermultiplet. In this paper, we extend the relaxed hypermultiplet to conformal supergravity. For consistency with the superconformal algebra, we find that the fields have to be allowed to transform in a non-canonical way under SU(2) symmetry. We find suitable field redefinitions to obtain fields which are irreducible representations of SU(2) R-symmetry and present the full non-linear transformation rule.
Keywords
Cite
@article{arxiv.2001.04285,
title = {Relaxed hypermultiplet in four dimensional N=2 conformal supergravity},
author = {Subramanya Hegde and Bindusar Sahoo and Aravindhan Srinivasan},
journal= {arXiv preprint arXiv:2001.04285},
year = {2020}
}
Comments
13 pages, References updated, comments added and minor typos corrected