Dynamical (super)symmetry vacuum properties of the supersymmetric Chern-Simons-matter model

TL;DR

This paper calculates the two-loop effective potential of a 3D N=1 supersymmetric Chern-Simons-matter model, demonstrating that supersymmetry remains intact while internal and scale symmetries are broken, leading to dynamical mass generation.

Contribution

It provides a detailed two-loop analysis of symmetry breaking and mass generation in a supersymmetric Chern-Simons-matter model, revealing new dynamical effects.

Findings

Supersymmetry is preserved at two loops.

Internal U(1) and scale symmetries are broken.

Masses are dynamically generated for gauge and matter fields.

Abstract

By computing the two-loop effective potential of the D=3 N=1 supersymmetric Chern-Simons model minimally coupled to a massless self-interacting matter superfield, it is shown that supersymmetry is preserved, while the internal U(1) and the scale symmetries are broken at two-loop order, dynamically generating masses both for the gauge superfield and for the real component of the matter superfield.