Abstract
We derived the component Lagrangian for the free N-extended on-shell massless higher spin supermultiplets in four-dimensional anti-de Sitter space. The construction was based on the frame-like description of massless integer and half-integer higher spin fields. The massless supermultiplets were formulated for N≤4k, where k is a maximal integer or half-integer spin in the multiplet. The supertransformations that leave the Lagrangian invariant were found in explicit form and it was shown that their algebra is closed on-shell.
Highlights
The study of various aspects of higher spin fields is currently one of the actively developing areas of modern theoretical and mathematical physics
It is well known that in four dimensions, N-extended supermultiplets with maximal spin k = 1 are restricted by the condition N ≤ 4, and that multiplets with maximal spin k = 2 are restricted by the condition N ≤ 8
We studied the field realization of arbitrary N-extended massless supermultiplets in
Summary
The study of various aspects of higher spin fields is currently one of the actively developing areas of modern theoretical and mathematical physics (for review see, e.g., [1,2,3,4,5]). On-shell superfield Lagrangian realization was constructed for extended N = 1 massless supermultiplets in the framework of light-cone gauge formalism [41]. We generalized the results of [42] and provide an explicit component Lagrangian construction of arbitrary N-extended massless higher spin on-shell supermultiplets in 4D anti-de Sitter space without using the condition accepted in [42]. We aimed to fill this gap and to find the explicit supertransformations for N-extended massless higher spin supermultiplets that leave the sum of free bosonic and fermionic Lagrangian invariants and show that the algebra of the supertransformations is closed on-shell. We showed that the constructed supertransformations form the closed N-extended 4D AdS superalgebras
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