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arXiv · hep-th/9812090

Partial duality in SU(N) Yang-Mills theory

L. Faddeev·Antti J. Niemi
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Abstract

Recently we have proposed a set of variables for describing the infrared limit of four dimensional SU(2) Yang-Mills theory. here we extend these variables to the general case of four dimensional SU(N) Yang-Mills theory. We find that the SU(N) connection A decomposes according to irreducible representations of SO(N-1) and the curvature two-form F is related to the symplectic Kirillov two forms that characterize irreducible representations of SU(N). We propose a general class of nonlinear chiral models that may describe stable, soliton-like configurations with nontrivial topological numbers.

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L. Faddeev, Antti J. Niemi. 1999-01-08. Partial duality in SU(N) Yang-Mills theory. https://doi.org/10.1016/s0370-2693(99)00100-8

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