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arxiv: hep-th/0305009 · v1 · submitted 2003-05-01 · ✦ hep-th

Antisymmetric Tensor Gauge Fields on S₄

classification ✦ hep-th
keywords gaugefieldsfieldantisymmetricinteractionsmodelmodelssphere
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Antisymmetric tensor gauge fields phi_{ab}(eta) are formulated on the surface of a sphere S_4t(eta^2 = a^2) 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 A_a(eta) that are akin to those of Freedman and Townsend in flat space. In addition, it proves possible to have a novel interaction of phi_{ab}with A_a and a spinor field Psi(eta) on S_4 with both Abelian and non-Abelian gauge invariance. In these models, A_a plays the role of a Stueckelberg field.

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