Dynamical breaking of supersymmetry in noncommutative gauge theories

Citation
Cs. Chu et al., Dynamical breaking of supersymmetry in noncommutative gauge theories, PHYS LETT B, 513(1-2), 2001, pp. 200-206
Citations number
27
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS B
ISSN journal
03702693 → ACNP
Volume
513
Issue
1-2
Year of publication
2001
Pages
200 - 206
Database
ISI
SICI code
0370-2693(20010726)513:1-2<200:DBOSIN>2.0.ZU;2-L
Abstract
We propose a new mechanism of spontaneous supersymmetry breaking in noncomm utative gauge theories. We find that in N = 1 noncommutative gauge theories both supersymmetry and gauge invariance are dynamically broken. Supersymme try is broken spontaneously by a Fayet-Iliopoulos D-term which naturally ar ises in a noncommutative U(n) theory. For a non-chiral matter content the F ayet-Iliopoulos term is not renormalized and its tree-level value can be ch osen to be much smaller than the relevant string/noncommutativity scale. In the low energy theory, the noncommutative U(n) gauge symmetry is broken do wn to a commutative U(I) x SU(n). This breaking is triggered by the IR/UV m ixing and manifests itself at and below the noncommutativity mass scale M-N C similar to theta (-1/2). In particular, the U(I) degrees of freedom decou ple from the SU(n) in the infrared and become arbitrarily weakly coupled, t hus playing the role of the hidden sector for supersymmetry breaking. (C) 2 001 Elsevier Science BN. All rights reserved.