Duality between N=5 and N=6 Chern-Simons matter theory

Abstract

We provide evidences for the duality between $\mathcal{N}=6$ $U(M{)}_4\times U(N{)}_{-4}$ Chern-Simons matter theory and $\mathcal{N}=5$ $O(\hat{M}{)}_2\times USp(2\hat{N}{)}_{-1}$ theory for a suitable $\hat{M},\hat{N}$ by working out the superconformal index, which shows perfect matching. For $\mathcal{N}=5$ theories, we show that supersymmetry is enhanced to $\mathcal{N}=6$ by explicitly constructing monopole operators filling in $SO(6{)}_R$ $R$-currents. Finally we work out the large $N$ index of $O(2N{)}_{2k}\times USp(2N{)}_{-k}$ and show that it exactly matches with the gravity index on $Ad{S}_4\times S^7/D_k$, which further provides additional evidence for the duality between the $\mathcal{N}=5$ and $\mathcal{N}=6$ theory for $k=1$

15 pages; references added

References in corpus (12)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Fractional M2-branes
• Seiberg Duality in Chern-Simons Theory
• Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories
• Supersymmetry enhancement by monopole operators
• Notes on Supersymmetry Enhancement of ABJM Theory
• Refined Checks and Exact Dualities in Three Dimensions
• Superconformal Indices for Orbifold Chern-Simons Theories
• Monopoles, three-algebras and ABJM theories with $\mathbb{N}=5,6,8$ supersymmetry
• Vortices and 3 dimensional dualities

Cited by in corpus (10)

• Zero-form and one-form symmetries of the ABJ and related theories
• Exact relations between M2-brane theories with and without Orientifolds
• Fundamental Vortices, Wall-Crossing, and Particle-Vortex Duality
• Reflection groups and 3d $\mathcal{N}\ge$ 6 SCFTs
• The $SL(2,\mathbb{Z})$ dualization algorithm at work
• On 3d Seiberg-like Dualities with Two Adjoints
• Dualities and flavored indices of M2-brane SCFTs
• ABJ Quadrality
• 3d superconformal indices and isomorphisms of M2-brane theories
• Factorization of the 3d superconformal index with an adjoint matter