Large N limit of supersymmetric Chern-Simons-matter model: breakdown of superconformal symmetry

Abstract

In this work we study some properties of the three dimensional $U(N)$ SUSY Chern-Simons coupled to a scalar field in the fundamental representation in the large $N$ limit. For large $N$ we show that the theory has two phases, one which is conformally invariant, and other where the superconformal symmetry is broken and masses for the matter fields are generated.

18 pages. 5 figures, published version

References in corpus (6)

• Unitarity, Crossing Symmetry and Duality in the scattering of $\mathcal{N}=1$ Susy Matter Chern-Simons theories
• Phase Diagram and Fixed-Point Structure of two dimensional N=1 Wess-Zumino Models
• 3D Field Theories with Chern--Simons Term for Large $N$ in the Weyl Gauge
• The Massive Fermion Phase for the U(N) Chern-Simons Gauge Theory in D=3 at Large N
• Spontaneous gauge symmetry breaking in a supersymmetric Chern-Simons model
• Two-loop effective potential for the Wess-Zumino model in 2+1 dimensions

Cited by in corpus (1)

• Renormalization Group Improvement of the Superpotential for the N=2 Chern-Simons-matter model