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Anti Self-Dual Yang-Mills, Modified Faddeev-Jackiw Formalism and Hidden BRS Invariance

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arxiv 1603.09299 v2 pith:JWZAUPO4 submitted 2016-03-30 hep-th math-phmath.MPnlin.SI

classification hep-thmath-phmath.MPnlin.SI
keywords asdymantifaddeev-jackiwgaugeshiddeninvariancemodifiedself-dual
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We analyze the constraints for a system of anti self-dual Yang-Mills (ASDYM) equations by means of the modified Faddeev-Jackiw method in K and J gauges \`{a} la Yang. We also establish the Hamiltonian flow for ASDYM system through the hidden BRS invariance in both the gauges. Finally, we remark on the bi-Hamiltonian nature of ASDYM and the compatibility of the symplectic structures therein.

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