A New Duality Between $\mathcal{N}=8$ Superconformal Field Theories in Three Dimensions

Abstract

We propose a new duality between two 3d $\mathcal{N}=8$ superconformal Chern-Simons-matter theories: the $U(3{)}_1\times U(3{)}_{-1}$ ABJM theory and a theory consisting of the product between the $\left(SU(2{)}_3\times SU(2{)}_{-3}\right)/{\mathbb{Z}}_2$ BLG theory and a free $\mathcal{N}=8$ theory of eight real scalars and eight Majorana fermions. As evidence supporting this duality, we show that the moduli spaces, superconformal indices, $S^3$ partition functions, and certain OPE coefficients of BPS operators in the two theories agree.

29 pages, 2 figures

References in corpus (9)

• 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
• Membranes on an Orbifold
• The $\mathcal{N}=8$ Superconformal Bootstrap in Three Dimensions
• Supersymmetry enhancement by monopole operators
• N = 8 Superconformal Chern--Simons Theories
• Deformation quantization and superconformal symmetry in three dimensions

Cited by in corpus (13)

• Solving M-theory with the Conformal Bootstrap
• The M-theory Archipelago
• Coulomb Branch Quantization and Abelianized Monopole Bubbling
• ABJM at Strong Coupling from M-theory, Localization, and Lorentzian Inversion
• 3d $\mathcal{N}=4$ OPE Coefficients from Fermi Gas
• On Mellin Amplitudes in SCFTs with Eight Supercharges
• AdS${}_4$/CFT${}_3$ for Unprotected Operators
• Reflection groups and 3d $\mathcal{N}\ge$ 6 SCFTs
• Lessons from M2's and Hopes for M5's
• Dualities and flavored indices of M2-brane SCFTs
• One-Dimensional Sectors From the Squashed Three-Sphere
• Gravitational free energy in topological AdS/CFT
• The Holographic Contributions to the Sphere Free Energy