Twistorial and space-time descriptions of massless infinite spin (super)particles and fields

Abstract

A new twistorial field formulation of a massless infinite spin particle is derived. We find a twistorial infinite spin field and derive its helicity decomposition. The twistorial equations of motion for infinite spin fields in the cases of integer and half-integer helicities are derived. We show that the infinite integer-spin field and infinite half-integer-spin field form the N = 1 infinite spin supermultiplet. The corresponding supersymmetry transformations are presented. We prove that the supersymmetry algebra is closed on-shell.

Supersymmetric continuous spin gauge theory

“…To supersymmetrize this theory, similar to the CSP case, we considered the N = 1 higher spin supermultiplet in which HS is a complex higher spin field and the so-called "HSpino" is a Dirac higher spin field. In both cases, continuous spin and higher spin, the fact that we should have a complex field in the supermultiplet is related to the presence of the spin-0 field in the spectrum, which should be complex in the chiral supermultiplet 17 . We recall that in the supersymmetric higher spin theoryà la Fronsdal [49], the spin-0 field does not exist in the spectrum while here there exists.…”

“…Then, taking hermitian conjugation of (20) leads to α B = − X F which, in turn, vanishes the second term of (19). Now we are in a position to find the operator X.…”

“…We note that the first supersymmetry transformations, in the frame-like approach, for the N = 1 continuous (infinite) spin supermultiplet was presented by Zinoviev [15] in three-dimensional Minkowski space-time, which was recently generalized to four dimensions [16], however our approach to supersymmetrize the theory in this paper is different. Furthermore, there are other papers discussing the supersymmetric continuous (infinite) spin gauge theory [17]- [19]. Apart from supersymmetry, a number of papers have studied other aspects of the continuous spin theory in different approaches [20]- [46].…”

Lagrangian formulation for the infinite spin N = 1 supermultiplets in d = 4

“…Infinite spin fields (see [1,2] and references therein) have attracted a lot of interest recently. A number of different approaches for their description were proposed [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. Also the investigations of possible interactions for such fields started [23][24][25].…”

“…Also the investigations of possible interactions for such fields started [23][24][25]. At the same time there exists just a few results on the supermultiplets containing such particles [11,21,22], while their classification is already known for a long time [1].…”