Superspace formulation of massive half-integer superspin

Abstract An explicit form for the Lagrangian of a massive arbitrary half-integer super-spin Y = s + 1/2 supermultiplet is obtained in 4D, N $$ \mathcal{N} $$ = 1 superspace. This is accomplished by the introduction of a tower of pairs of auxiliary superfields of increasing rank which are required to vanish on-shell for free theories. In the massless limit almost all auxiliary super- fields decouple except one, which plays the role of compensator as required by the emergent gauge redundancy of the Lagrangian description of the massless theory. The number of off-shell degrees of freedom carried by the theory is 8 3 $$ \frac{8}{3} $$ (s + 1)(4s 2 + 11s + 3). For s = 1 our results are in agreement with those obtained in [1].

Abstract licence: CC BY

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