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.

arXiv comment13 pages, References updated, comments added and minor typos corrected

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Cited by in corpus (2)

• Curvature squared action in four dimensional $N=2$ supergravity using the dilaton Weyl multiplet
• Scalar-Tensor multiplet in four dimensional N=2 conformal supergravity