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Relaxed hypermultiplet in four dimensional N=2 conformal supergravity

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arxiv 2001.04285 v2 pith:F57UCYWK submitted 2020-01-13 hep-th

Subramanya Hegde , Bindusar Sahoo , Aravindhan Srinivasan This is my paper · ORCID
classification hep-th
keywords hypermultipletsupergravityrelaxedallowedconformalconstructionfieldsfind
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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.

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  1. Scalar-Tensor multiplet in four dimensional N=2 conformal supergravity

    hep-th 2024-12 conditional novelty 6.0 of 10

    A new off-shell 8+8 scalar-tensor multiplet for N=2 conformal supergravity is constructed by supersymmetric truncation of N=3 multiplets and elimination of central charge multiplet fields using hypermultiplet field equations.

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