Antisymmetric Tensor Gauge Fields on S_4
High Energy Physics - Theory
2009-11-10 v1
Abstract
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.
Cite
@article{arxiv.hep-th/0305009,
title = {Antisymmetric Tensor Gauge Fields on S_4},
author = {D. G. C. McKeon},
journal= {arXiv preprint arXiv:hep-th/0305009},
year = {2009}
}