Supersymmetry enhancement by monopole operators

Abstract

We describe a method which allows one to study hidden symmetries in a large class of strongly coupled supersymmetric gauge theories in three dimensions. We apply this method to the ABJM theory and to the infrared limit of N=4 SQCD with adjoint and fundamental matter. We show that the U(N) ABJM model with Chern-Simons level k=1 or k=2 has hidden N=8 supersymmetry. Hidden supersymmetry is also shown to occur in N=4 d=3 SQCD with one fundamental and one adjoint hypermultiplet. The latter theory, as well as the U(N) ABJM theory at k=1, are shown to have a decoupled free sector. This provides evidence that both models are dual to the infrared limit of N=8 U(N) super-Yang-Mills theory.

29 pages, latex

References in corpus (2)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Notes on Supersymmetry Enhancement of ABJM Theory

Cited by in corpus (7)

• N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators
• Aharony duality and monopole operators in three dimensions
• Holography of mass-deformed M2-branes
• Monopoles, three-algebras and ABJM theories with $\mathbb{N}=5,6,8$ supersymmetry
• An associative star-three-product and applications to M two/M five-brane theory
• Interaction between M2-branes and Bulk Form Fields
• Examples of global symmetry enhancement by monopole operators