Supersymmetry Breaking in Chern-Simons-matter Theories

Abstract

Some of supersymmetric Chern-Simons theories are known to exhibit supersymmetry breaking when the Chern-Simons level is less than a certain number. The mechanism of the supersymmetry breaking is, however, not clear from the field theory viewpoint. In this paper, we discuss vacuum states of $\mathcal{N}=2$ pure Chern-Simons theory and $\mathcal{N}=2$ Chern-Simons-matter theories of quiver type using related theories in which Chern-Simons terms are replaced with (anti-)fundamental chiral multiplets. In the latter theories, supersymmetry breaking can be shown to occur by examining that the vacuum energy is non-zero.

17 pages, 3 figures, v2) references added

References in corpus (6)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Algebraic structures on parallel M2-branes
• Fractional M2-branes
• Comments on the Bagger-Lambert theory and multiple M2-branes
• F-theorem, duality and SUSY breaking in one-adjoint Chern-Simons-Matter theories
• Once more on the Witten index of 3d supersymmetric YM-CS theory

Cited by in corpus (6)

• Direct derivation of "mirror" ABJ partition function
• Non-Abelian Localization for Supersymmetric Yang-Mills-Chern-Simons Theories on Seifert Manifold
• A Systematic Study on Matrix Models for Chern-Simons-matter Theories
• Supersymmetry Breaking in a Large N Gauge Theory with Gravity Dual
• Dynamics of $\mathcal{N}=4$ supersymmetric field theories in 2+1 dimensions and their gravity dual
• Comments on s-rule violating configurations in field theory