Five-dimensional vector multiplets in arbitrary signature

Gall, Louis ORCID: 0000-0002-1805-2357 and Mohaupt, Thomas ORCID: 0000-0002-6864-4086 (2018) Five-dimensional vector multiplets in arbitrary signature. The Journal of High Energy Physics, 2018 (9). 53-.

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Abstract

We start developing a formalism which allows to construct supersymmetric theories systematically across space-time signatures. Our construction uses a complex form of the supersymmetry algebra, which is obtained by doubling the spinor representation. This allows one to partially disentangle the Lorentz and R-symmetry group and generalizes symplectic Majorana spinors. For the case where the spinor representation is complex-irreducible, the R-symmetry only acts on an internal multiplicity space, and we show that the connected groups which occur are SO(2), SO(1,1), SU(2) and SU(1,1). As an application we construct the off-shell supersymmetry transformations and supersymmetric Lagrangians for five-dimensional vector multiplets in arbitrary signature (t,s). In this case the R-symmetry groups are SU(2) or SU(1, 1), depending on whether the spinor representation carries a quaternionic or para-quaternionic structure. In Euclidean signature the scalar and vector kinetic terms differ by a relative sign, which is consistent with previous results in the literature and shows that this sign flip is an inevitable consequence of the Euclidean supersymmetry algebra.

Item Type:	Article
Additional Information:	56 pages. v2: some typos fixed. Accepted for publication in JHEP
Uncontrolled Keywords:	hep-th, hep-th
Depositing User:	Symplectic Admin
Date Deposited:	29 Aug 2018 09:11
Last Modified:	15 Mar 2024 06:15
DOI:	10.1007/JHEP09(2018)053
Open Access URL:	https://doi.org/10.1007/JHEP09(2018)053
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3025598