Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-08-06
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, 2 figures, PLB version
Scientific paper
10.1016/j.physletb.2010.08.059
In this work it is studied the spontaneous breaking of superconformal and gauge invariances in the Abelian N=1,2 three-dimensional supersymmetric Chern-Simons-matter theories in a large N limit. It is computed the K\"ahlerian effective superpotential at subleading order and shown that the Coleman-Weinberg mechanism is the responsible for the dynamical generation of a mass scale in the N=1 model. This effect appears due to two-loop diagrams that are logarithmic divergent. In particular, the Coleman-Weinberg mechanism fails when we lift the N=1 to N=2 Supersymmetric Chern-Simons-Matter model, like what happens in a perturbative expansion in the coupling constants.
da Silva Adilson Jose
Lehum A. C.
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