Non-conformal higher spin supercurrents

Abstract

In four spacetime dimensions there exist two off-shell formulations for the massless multiplet of superspin (s + 1 2 ), 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 + 1 2 ) 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, . . . .

Higher spin supersymmetry at the cosmological collider: sculpting SUSY rilles in the CMB

“…The result of that would be that, the spectrum of the half integer supermultiplet will collapse from (s + 1, s + 1/2, s + 1/2, s) to (s + 1, s + 1/2) and more importantly the generator of cubic interactions J α(s)α(s) in (18) will become conserved higher spin supercurrents. Such supercurrents have been found in [68][69][70][71][72][73][74][75][76] and their structure is consistent with (20). are explicitly after in this work.…”

Lagrangian formulation of the massive higher spin N = 1 supermultiplets in AdS4 space

“…Massless models given in this section will serve as the building blocks for our construction of the massive was considered in [12]. The superfield approach was recently applied for construction of the higher spin supercurrents [13], [14], [15]. [16], [17], [18], [19].…”

Symmetries of supergravity backgrounds and supersymmetric field theory

“…• General non-conformal deformations of the conformal supercurrents J α(n)α(n) and J α(n+1)α(n) , eq. (4.15), were described in [64,100,101] for the cases of Minkowski and AdS backgrounds. Various aspects of such non-conformal higher-spin supercurrents in Minkowski superspace were studied in [102][103][104].…”