The Minimal and the New Minimal Supersymmetric Grand Unified Theories on Noncommutative Space-time

Abstract

We construct noncommutative versions of both the minimal and the new minimal supersymmetric Grand Unified Theories. The enveloping-algebra formalism is used to carry out such constructions. The beautiful formulation of the Higgs sector of these noncommutative theories is a consequence of fact that, in the GUTs at hand, the ordinary Higgs fields can be realized as elements of the Clifford algebra Cl10(C). In the noncommutative supersymmetric GUTs we formulate, supersymmetry is linearly realized by the noncommutative fields; but it is not realized by the ordinary fields that define those noncommutative fields via the Seiberg-Witten map.

22 pages, no figures. References added

References in corpus (8)

• Improved Z -> gamma gamma decay in the renormalizable gauge sector of the noncommutative standard model
• Probing the Noncommutative Standard Model at Hadron Colliders
• Seiberg--Witten Maps to All Orders
• The absence of the 4$\psi$ divergence in noncommutative chiral models
• Computing the θ-exact Seiberg-Witten map for arbitrary gauge groups
• Particle-like solutions to classical noncommutative gauge theory
• Yukawa terms in noncommutative SO(10) and E6 GUTs
• A Noncommutative Version of the Minimal Supersymmetric Standard Model

Cited by in corpus (8)

• Self-energies on deformed spacetimes
• Hydrogen and muonic-Hydrogen Atomic Spectra in Non-commutative Space-Time
• Photon propagation in noncommutative QED with constant external field
• Seiberg-Witten map Invariant Scatterings
• Two-Point Functions on Deformed Spacetime
• The hybrid Seiberg-Witten map, its $\theta$-exact expansion and the antifield formalism
• Higgs Couplings in NonCommutative Standard Model
• Revisiting NCQED and scattering amplitudes