TY - JOUR

T1 - Massless field supermultiplets with arbitrary spin

AU - Curtright, Thomas

N1 - Funding Information:
Massless fields with spins higher than two (S > 2) have recently been discovered to admit interpretations as gauge potentials \[1,2\].S uch interpretations were not evident in earlier investigations which dealt with local fields of spin S ~< 3, both massless and massive \[3\],a nd with massive fields of arbitrary spin \[4\]. These newly found interpretations represent advances in understanding higher spin fields which may eventually lead to the use of such fields for phenomenological purposes. Although there are no observed "structureless" S > 2 particles whose description requires corresponding high-spin fundamental fields, there are some slight but tantalizing theoretical indications that such fields may be needed if all the known interactions (including gravity) are to be unified within a supersymmetric framework. In particular, it is known \[5\] that an irreducible supermultiplet, when limited to contain spins S ~< 2, cannot accomodate a local SU(3)color X (SU(2) X U(1))electrowea k gauge theory with the necessary vector bosons appearing as fundamental fields. The simplest extension to a single supermulti-plet which can accommodate the standard strong and electroweak gauge interactions, and which also sensibly includes weak isospin doublets, requires both Work supported in part by the NSF: Contract No. PHY 78-01224.
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1979/8/13

Y1 - 1979/8/13

N2 - Lagrangians for massless free fields with arbitrary spins are derived by postulating gauge transformations for these fields. Global supersymmetry field variations are then exhibited for a massless system involving the pair of spins (S,S+ 1 2), and the supersymmetry algebra is explicitly shown to close on-shell. The linear representation theorem for this algebra is used to prove these massless systems are suitably free of intermediate helicity modes. Local coupling of higher-spin fermions to gravity is briefly discussed.

AB - Lagrangians for massless free fields with arbitrary spins are derived by postulating gauge transformations for these fields. Global supersymmetry field variations are then exhibited for a massless system involving the pair of spins (S,S+ 1 2), and the supersymmetry algebra is explicitly shown to close on-shell. The linear representation theorem for this algebra is used to prove these massless systems are suitably free of intermediate helicity modes. Local coupling of higher-spin fermions to gravity is briefly discussed.

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U2 - 10.1016/0370-2693(79)90583-5

DO - 10.1016/0370-2693(79)90583-5

M3 - Article

AN - SCOPUS:0002369329

VL - 85

SP - 219

EP - 224

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 2-3

ER -