The massless integer superspin multiplets revisited

Abstract

We propose a new off-shell formulation for the massless N = 1 supersymmetric multiplet of integer superspin s in four dimensions, where s = 2, 3, . . . (the s = 1 case corresponds to the gravitino multiplet). Its gauge freedom matches that of the superconformal superspin-s multiplet described in arXiv:1701.00682. The gaugeinvariant action involves two compensating multiplets in addition to the superconformal superspin-s multiplet. Upon imposing a partial gauge fixing, this action reduces to the one describing the so-called longitudinal formulation for the massless superspin-s multiplet. Our new model is shown to possess a dual realisation obtained by applying a superfield Legendre transformation. We present a nonconformal higher spin supercurrent multiplet associated with the new integer superspin theory. This fermionic supercurrent is shown to occur in the Fayet-Sohnius model for a massive N = 2 hypermultiplet. We also give a new off-shell realisation for the massless gravitino multiplet.

Integer superspin supercurrents of matter supermultiplets

“…In [39] it was demonstrated that for the matter gravitino supermultiplet [Y = 1] (3/2, 1) one can relax the Poincaré gauge transformation to match the conformal one, by adding another compensating superfield with an algebraic (no derivatives) transformation law. Recently [20] this mechanism was applied to higher integer superspin supermultiplets. However, this description is non-economical (requires more superfields than it is necessary) and one can always use the algebraic nature of the transformation of the additional compensator in order to remove it.…”

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].…”