Dynamical Breaking of Supersymmetry in Noncommutative Gauge Theories

Abstract

We propose a new mechanism of spontaneous supersymmetry breaking in noncommutative gauge theories. We find that in N=1 noncommutative gauge theories both supersymmetry and gauge invariance are dynamically broken. Supersymmetry is broken spontaneously by a Fayet-Iliopoulos D-term which naturally arises in a noncommutative U(n) theory. For a non-chiral matter content the Fayet-Iliopoulos term is not renormalized and its tree-level value can be chosen to be much smaller than the relevant string/noncommutativity scale. In the low energy theory, the noncommutative U(n) gauge symmetry is broken down to a commutative U(1) x SU(n). This breaking is triggered by the IR/UV mixing and manifests itself at and below the noncommutativity mass scale M_{NC}\sim θ^{-1/2}. In particular, the U(1) degrees of freedom decouple from the SU(n) in the infrared and become arbitrarily weakly coupled, thus playing the role of the hidden sector for supersymmetry breaking.

12 pages, 1 figure; v2, reference added

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• Noncommutative Standard Modelling
• Noncommutativity and Model Building
• Transport equation and hard thermal loops in noncommutative Yang-Mills theory
• The static effective action for non-commutative QED at high temperature
• Noncommutativity from the string perspective: modification of gravity at a mm without mm sized extra dimensions
• Effective actions, Wilson lines and the IR/UV mixing in noncommutative supersymmetric gauge theories
• Classical transport equation in non-commutative QED at high temperature
• Transport equation for the photon Wigner operator in non-commutative QED
• Planar and Nonplanar Konishi Anomalies and Effective Superpotential for Noncommutative N=1 Supersymmetric U(1)
• Non-orientable string one-loop corrections in the presence of a B field