Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-05-21
Phys.Lett. B513 (2001) 200-206
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, 1 figure; v2, reference added
Scientific paper
10.1016/S0370-2693(01)00733-X
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 \theta^{-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.
Chu Chong-Sun
Khoze Valentin V.
Travaglini Gabriele
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