Antisymmetric Tensor Gauge Fields on S4
D. G. C. McKeon
Abstract
Antisymmetric tensor gauge fields phiab(eta) are formulated on the surface of a sphere S4t(eta2 = a2) embedded in five dimensions. The free field model is equivalent to a scalar model on this sphere. Interactions with gauge fields are discussed. It is feasable to formulate models for interactions with U(1) gauge fields Aa(eta) that are akin to those of Freedman and Townsend in flat space. In addition, it proves possible to have a novel interaction of phiabwith Aa and a spinor field Psi(eta) on S4 with both Abelian and non-Abelian gauge invariance. In these models, Aa plays the role of a Stueckelberg field.
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