New 4D, N=1 superfield theory: model of free massive superspin- multiplet

Field Strengths of Linearized 5D,N= 1 Superfield Supergravity On a 3-Brane

“…Note that 4D massive superfields that satisfy (2.58) or (2.59) would have superspin-3 2 [7,17]. We leave the investigation of the connection to massive 4D gauge theories to a future publication.…”

“…A second reason for studying massless theories in 5D dimensions is that they are related to massive higher spin theories in four dimensions. Lagrangian formulations of supersymmetric massive higher spin theories in 4D have only recently been investigated [6,7,8], and a formulation for all higher spins still remains an open question. It is, furthermore, common to use lower N superfields to model higher N supersymmetry in supersymmetric quantum field theory.…”

A dynamical theory for linearized massive superspin 3/2

“…Progress in this direction was made with the works presented in [4][5][6] where free massive irreducible representations of superspin 1 and 3/2 were constructed. These results provided a proof of concept that constructions like these are possible, but they don't shed light to the heart of the problem which is to determine the set of auxiliary superfields required to describe an arbitrary superspin system with a proper massless limit.…”

“…These results provided a proof of concept that constructions like these are possible, but they don't shed light to the heart of the problem which is to determine the set of auxiliary superfields required to describe an arbitrary superspin system with a proper massless limit. Specifically in [4] the focus was on massive extension of linearized old-minimal supergravity and newminimal supergravity. These theories do not generalize to the arbitrary spin case, therefore the results obtained do not provide clues about the underlying structure of the auxiliary superfields for the general case.…”

Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space

“…At present, research in this area is devoted to development of general methods allowing to construct Lagrangian formulations, to study the specific properties, to clarify the possible underlying structures of such a theory, to see the relations with superstring theory and to find the ways leading to description of interacting higher spin fields (see e.g. [2][3][4][5][6][7][8][9] for recent progress in massive and [10][11][12][13][14][15][16][17][18] for recent progress in massless higher spin theories).…”