A Noncommutative Version of the Minimal Supersymmetric Standard Model

Abstract

A minimal supersymmetric standard model on noncommutative space-time (NC MSSM) is proposed. The model fulfils the requirements of noncommutative gauge invariance and absence of anomaly. The existence of supersymmetry with a scale of its breaking lower than the noncommutative scale is crucial in order to achieve a consistent gauge symmetry breaking.

23 pages, some discussions refined. Final version, to appear in European Physical Journal C

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Cited by in corpus (8)

• Gauge Covariance of the Aharonov-Bohm Phase in Noncommutative Quantum Mechanics
• Computing the θ-exact Seiberg-Witten map for arbitrary gauge groups
• The noncommutative U(1) Higgs-Kibble model in the enveloping-algebra formalism and its renormalizability
• Gauging the twisted Poincare symmetry as noncommutative theory of gravitation
• Yukawa terms in noncommutative SO(10) and E6 GUTs
• The Minimal and the New Minimal Supersymmetric Grand Unified Theories on Noncommutative Space-time
• Circumventing the No-Go Theorem in Noncommutative Gauge Field Theory
• Noncommutative N=1 super Yang-Mills, the Seiberg-Witten map and UV divergences