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arXiv · 1201.3448

Supersymmetric QCD in the Noncommutative Geometry

Satoshi Ishihara·Hironobu Kataoka·Atsuko Matsukawa·Hikaru Sato·Masafumi Shimojo
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Abstract

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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Satoshi Ishihara, Hironobu Kataoka, Atsuko Matsukawa, Hikaru Sato, Masafumi Shimojo. 2012-01-17. Supersymmetric QCD in the Noncommutative Geometry. https://arxiv.org/abs/1201.3448

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