Superspace Formulation of Arbitrary Superspin Reps of the 4D, N=1 Super-Poincare Group

Abstract

Higher Super-Spins, are the irreducible representations of the Super-Poincaré group. We study the representation theory of this group in 4D, N = 1 and demonstrate the off-shell Superspace realization of these theories. On the one hand, for the massless case, using gauge symmetry as a guide we can describe the arbitrary (integer or half-integer) superhelicity system. On the other hand for the massive case the general superspin case is still an open problem. However we would like to report on some recent progress towards that direction. We complete the picture by presenting various aspects of the Higher Super-Spin theories, such as the off-shell spectrum and degrees of freedom for the arbitrary superhelicity and how to construct N = 2 theories out of the N = 1 theories.

Superspace first order formalism, trivial symmetries and electromagnetic interactions of linearized supergravity

“…For manifestly N = 1 supersymmetric theories in 4D, the superspace description of free massless higher spins was discovered in [52][53][54][55] (see also later discussions in [56][57][58]) whereas the description of massive higher spin multiplets was only recently discovered in [59] for arbitrary half-integer superspins (Y=s+1/2). These formulations use higher rank superfields with both types of spinorial indices symmetrized.…”