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2012•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOpen access

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

E. A. Gallegos, A. J. da Silva

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Abstract

By computing the two-loop effective potential of the $D=3$ $\mathcal{N}=1$ 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.

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What this paper is about

By computing the two-loop effective potential of the $D=3$ $\mathcal{N}=1$ 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.

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Available abstract

By computing the two-loop effective potential of the $D=3$ $\mathcal{N}=1$ 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.

Key concepts: Chern–Simons theory, Physics, Superfield, Supersymmetry, Massless particle, Symmetry (geometry), Mathematical physics, Gauge symmetry

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