Noncommutative geometry and a class of completely integrable models
classification
🧮 math-ph
math.MP
keywords
noncommutativeclassgeometryharmonicmapsmodelsalgebraschiral
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We introduce a Hodge operator in a framework of noncommutative geometry. The complete integrability of 2-dimensional classical harmonic maps into groups (sigma-models or principal chiral models) is then extended to a class of 'noncommutative' harmonic maps into matrix algebras.
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