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Martin Légaré - Low dimensional integrable systems and topological Yang-Mills theories



MARTIN LÉGARÉ, Mathematical Sciences, University of Alberta, Edmonton, Alberta
Low dimensional integrable systems and topological Yang-Mills theories


A set of integrable systems in 1 or 2 dimensions are shown to be associated to BRST invariant systems derived from topological gauge theories. These integrable systems are also spinor extended to systems related to non-Abelian monopoles equations. Solutions and residual topological actions have been obtained.