Abstract
In four spacetime dimensions there exist two off-shell formulations for the massless multiplet of superspin (s+12), where s=2,3,…. These supersymmetric higher spin gauge theories, known as longitudinal and transverse, are dual to each other and describe two massless fields of spin (s+12) and (s+1) upon elimination of the auxiliary fields. They respectively reduce, in the limiting case of s=1, to the linearised actions for the old minimal and the n=−1 non-minimal N=1 supergravity theories. Associated with these gauge massless theories are non-conformal higher spin supercurrent multiplets which we describe. We demonstrate that the longitudinal higher spin supercurrents are realised in the model for a massive chiral scalar superfield only if s is odd, s=2n+1, with n=1,2,….
Highlights
Supercurrent [1] is one of the fundamental concepts in supersymmetric field theory, for it contains the energy-momentum tensor and the supersymmetry current(s)
In general there exist several consistent deformations, and several inequivalent supercurrents. This means that the problem of classifying inequivalent supercurrent multiplets needs to be addressed
Given a linearised off-shell action for N = 1 supergravity, the supercurrent conservation equation is obtained by coupling the supergravity prepotentials to external sources and demanding the resulting action to be invariant under the linearised supergravity gauge transformations
Summary
Supercurrent [1] is one of the fundamental concepts in supersymmetric field theory, for it contains the energy-momentum tensor and the supersymmetry current(s). Since the linearised off-shell N = 1 supergravity actions have been classified [5], all minimal consistent supercurrents are readily derivable [2] Reducible supercurrents, such as the S-multiplet of [6], can be obtained by combining some of the minimal ones. To obtain higher spin extensions of non-conformal supercurrents, one can make use of the known gauge off-shell formulations for massless higher spin supermultiplets. Such formulations were developed in the early 1990s in Minkowski superspace [14, 15] and antide Sitter superspace [16] (see [17] for a pedagogical review of the results of [14, 15]). We derive all higher spin supercurrents for the massive model (1.5)
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