Four-dimensional vector multiplets in arbitrary signature (II)

Cortes, V, Gall, L and Mohaupt, T ORCID: 0000-0002-6864-4086 (2020) Four-dimensional vector multiplets in arbitrary signature (II). INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 17 (10). p. 2050151.

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Official URL: http://dx.doi.org/10.1142/s0219887820501510

Abstract

<jats:p> Following the classification up to isomorphism of [Formula: see text] Poincaré Lie superalgebras in four dimensions with arbitrary signature obtained in a companion paper, we present off-shell vector multiplet representations and invariant Lagrangians realizing these algebras. By dimensional reduction of five-dimensional off-shell vector multiplets, we obtain two representations in each four-dimensional signature. In Euclidean and neutral signature, these representations can be mapped to each other by a field redefinition induced by the action of the Schur group on the space of superbrackets. In Minkowski signature, we show that the superbrackets underlying the two vector multiplet representations belong to distinct open orbits of the Schur group and are therefore inequivalent. Our formalism allows to answer questions about the possible relative signs between terms in the Lagrangian systematically by relating them to the underlying space of superbrackets. </jats:p>

Item Type:	Article
Uncontrolled Keywords:	Poincare Lie superalgebras, extended supersymmetry, arbitrary signature
Depositing User:	Symplectic Admin
Date Deposited:	24 Jul 2020 07:53
Last Modified:	18 Jan 2023 23:39
DOI:	10.1142/S0219887820501510
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3095017