Current Algebra in Three Dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, UR-1266, ER40685-720

Scientific paper

10.1103/PhysRevLett.69.2033

We study a three dimensional analogue of the Wess--Zumino--Witten model, which describes the Goldstone bosons of three dimensional Quantum Chromodynamics. The topologically non--trivial term of the action can also be viewed as a nonlinear realization of Chern--Simons form. We obtain the current algebra of this model by canonical methods. This is a three dimensional generalization of the Kac--Moody algebra.

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