D=(2+1) O(N) Wess-Zumino model in a large N limit

Abstract

Using the superfield formalism, the effective Kahlerian superpotential of the massless \cal{N}=1 O(N) Wess-Zumino model is computed in the limit of large N, in three spacetime dimensions. The effective Kahlerian superpotential is evaluated at the subleading order in the 1/N expansion, which involves diagrams up to two-loop order, for a small coupling constant. We show that the O(N) symmetry of the model is preserved in this approximation and that no mass is dynamically generated in the supersymmetric phase. We discuss why spontaneous O(N) symmetry breaking cannot be induced by radiative corrections in such model.

8 pages, 1 figure

References in corpus (5)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Membranes on Calibrations
• Dynamical generation of mass in the D=(2+1) Wess-Zumino model

Cited by in corpus (6)

• Two-loop effective potentials in general N=2, d=3 chiral superfield model
• On the effective superpotential in the supersymmetric Chern-Simons theory with matter
• On the effective superpotential in the generic higher-derivative superfield supersymmetric three-dimensional gauge theory
• Two-loop effective potential for the Wess-Zumino model in 2+1 dimensions
• Two-loop low-energy effective action in Abelian supersymmetric Chern-Simons matter models
• Derivative expansion and the induced Chern-Simons term in N=1, d=3 superspace