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arXiv · hep-th/9704118

Deformed Chern-Simons Theories

G. Bimonte·R. Musto·A. Stern·P. Vitale
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Abstract

We construct a Chern-Simons action for q-deformed gauge theory which is a simple and straightforward generalization of the usual one. Space-time continues to be an ordinary (commuting) manifold, while the gauge potentials and the field strengths become q-commuting fields. Our approach, which is explicitly carried out for the case of `minimal' deformations, has the advantage of leading naturally to a consistent Hamiltonian structure that has essentially all of the features of the undeformed case. For example, using the new Poisson brackets, the constraints form a closed algebra and generate q-deformed gauge transformations.

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G. Bimonte, R. Musto, A. Stern, P. Vitale. 1997-05-26. Deformed Chern-Simons Theories. https://doi.org/10.1016/s0370-2693(97)00689-8

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