Integer superspin supercurrents of matter supermultiplets

Abstract

In recent papers [18,21] we demonstrated that consistent and non-trivial linear transformations of matter supermultiplets generate half-integer superspin supercurrents and the cubic interactions between matter and half-integer superspin supermultiplets. In this work we show that consistent and non-trivial antilinear transformations of matter superfields lead to the construction of integer superspin supercurrents and the cubic interactions between mater and integer superspin supermultiplets. Applying Noether's method to these transformations, we find new integer superspin supercurrents for the case of a free massless chiral superfield. Furthermore, we use them to find new integer superspin supercurrent multiplets for a massive chiral superfield and a chiral superfield with a linear superpotential. Also various selection rules for such interactions are found.

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.…”

Supersymmetric HS Yang-Mills-like Models

“…We want to show here that, in 4D, they possess a supersymmetric extension. This is in line with a large amount of research developed over the years, both to understand the N = 1 HS free spectrum [21][22][23][24][25] and to construct consistent interactions [26][27][28][29][30][31][32][33][34]. The supersymmetric version of the HS YM-like models is easily implemented via the superfield formalism.…”

Massless higher spin cubic vertices in flat four dimensional space

“…One more interesting direction is the cubic vertices for the higher spin massless supermultiplets. Their classification was elaborated quite recently in the light-cone formalism [45,46], but for the Lorentz covariant realization there are also just a few non-trivial results [47][48][49][50][51].…”