Supersymmetric QCD in the Noncommutative Geometry

Details Supersymmetric QCD in the Noncommutative Geometry Supersymmetric QCD in the Noncommutative Geometry

2012-01-17

arxiv.org/abs/1201.3448v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

Introduction of supersymmetry into the noncommutative geometry is investigated. We propose a new Dirac operator which plays the role of the metric over the extended algebra of chiral and antichiral supermultiplets and is invariant under the supersymmetry transformations. Inner automorphisms for the algebra generate vector supermultiplets as an internal fluctuation of the metric. We show that the supersymmetric QCD action for these supermultiplets is correctly given by the spectral action principle.

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