Conserved higher spin supercurrents for arbitrary spin massless supermultiplets and higher spin superfield cubic interactions

Abstract

We give an explicit superspace construction of higher spin conserved supercurrents built out of 4D, N = 1 massless supermultiplets of arbitrary spin. These supercurrents are gauge invariant and generate a large class of cubic interactions between a massless supermultiplet with superspin Y 1 = s 1 + 1/2 and two massless supermultiplets of arbitrary superspin Y 2 . These interactions are possible only for s 1 ≥ 2Y 2 . At the equality, the supercurrent acquires its simplest form and defines the supersymmetric, higher spin extension of the linearized Bel-Robinson tensor.

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

“…The superfield approach was recently applied for construction of the higher spin supercurrents [13], [14], [15]. [16], [17], [18], [19].…”

Higher spin supercurrents in anti-de Sitter space

“…In accordance with the standard Noether method (see, e.g., [27] for a review), the construction of conserved higher spin supercurrents for various supersymmetric theories in AdS is equivalent to generating consistent cubic vertices of the type HJ, where H denotes some off-shell higher spin gauge multiplet [21], and J = D p ΦD q Ψ is the higher spin current which is constructed in terms of some matter multiplets Φ and Ψ and the AdS covariant derivatives D. This is one of the important applications of the results presented in the present paper. In the flat-superspace case, several cubic vertices involving the off-shell higher spin multiplets of [22,23] were constructed recently in [28,29,30], as an extension of the superconformal cubic couplings between a chiral scalar superfield and an infinite tower of gauge massless multiplets of half-integer superspin given in [26].…”