TY - JOUR

T1 - Generalized gauge fields

AU - Curtright, Thomas

N1 - Funding Information:
Both totally symmetric and totally antisymmetfic Lorentz tensors of arbitrary rank may be used as gauge fields. Both types of gauge field tensors appear quite naturally in theoretical analyses of some interesting physical problems. For example, symmetric gauge tensors (spinor-tensors) of rank s may be used to describe massless particles of spin s(s + ~). This is not only true for s ~ 3 \[1\]b, ut has actually been shown for all spins \[2\].F urthermore, antisymmetric rank-two gauge fields are naturally coupled to strings \[3\]a, nd more recently such fields have been used in formulating dual transformations for vector gauge theories \[4\].F inally, an antisymmetric gauge tensor of rank-three appears in the elegant eleven-dimensional formulation ofN = 8 supergravity, prior to reducing the model to four spacetime dimensions \[5,6\]. In this paper we describe how to generalize the concept of a gauge field to include higher rank Lorentz tensors which are neither totally symmetric nor totally antisymmetric under spacetime index permutations. We have found that essentially all Lorentz tensors may be used as gauge fields. Here we mainly describe the theory of a rank-three tensor whose index permutation symmetry corresponds to the Young diagram ~. However, the analysis is readily extended to more complicated cases. We briefly mention further Research supported in part by the NSF: Grant No. PHY-79-23669. 1 Robert R. McCormick Fellow. 2 Present address: University of Florida, Gainesville, FL 32611, USA.

PY - 1985/12/26

Y1 - 1985/12/26

N2 - Higher rank Lorentz tensors with mixed spacetime index permutation symmetry are shown to be gauge fields. Theoretical applications involving such fields are proposed.

AB - Higher rank Lorentz tensors with mixed spacetime index permutation symmetry are shown to be gauge fields. Theoretical applications involving such fields are proposed.

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U2 - 10.1016/0370-2693(85)91235-3

DO - 10.1016/0370-2693(85)91235-3

M3 - Article

AN - SCOPUS:0000155393

VL - 165

SP - 304

EP - 308

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 - 4-6

ER -