New and old N=8 superconformal field theories in three dimensions

Abstract

We show that an infinite family of N=6 d=3 superconformal Chern-Simons-matter theories has hidden N=8 superconformal symmetry and hidden parity on the quantum level. This family of theories is different from the one found by Aharony, Bergman, Jafferis and Maldacena, as well as from the theories constructed by Bagger and Lambert, and Gustavsson. We also test several conjectural dualities between BLG theories and ABJ theories by comparing superconformal indices of these theories.

16 pages, latex

References in corpus (11)

• 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
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• Comments on the Bagger-Lambert theory and multiple M2-branes
• Membranes on an Orbifold
• Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories
• Supersymmetry enhancement by monopole operators
• Notes on Supersymmetry Enhancement of ABJM Theory
• Examples of global symmetry enhancement by monopole operators

Cited by in corpus (39)

• The $\mathcal{N}=8$ Superconformal Bootstrap in Three Dimensions
• From 4d superconformal indices to 3d partition functions
• Superconformal indices of three-dimensional theories related by mirror symmetry
• Supersymmetric Renyi Entropy
• Elliptic hypergeometry of supersymmetric dualities II. Orthogonal groups, knots, and vortices
• Multiple Membranes in M-theory
• Solving M-theory with the Conformal Bootstrap
• Holographic duals of 3d S-fold CFTs
• Generalized symmetries and holography in ABJM-type theories
• Aharony Dualities for 3d Theories with Adjoint Matter
• Seiberg-like Dualities for 3d N=2 Theories with SU(N) gauge group
• The M-theory Archipelago
• Dualities for 3d Theories with Tensor Matter
• A Duality Appetizer
• Studying superconformal symmetry enhancement through indices
• Topologically gauged superconformal Chern-Simons matter theories
• Exact results in N=8 Chern-Simons-matter theories and quantum geometry
• AdS${}_4$/CFT${}_3$ for Unprotected Operators
• Amplitudes of 3d Yang Mills Theory
• Reflection groups and 3d $\mathcal{N}\ge$ 6 SCFTs
• More on holographic correlators: Twisted and dimensionally reduced structures
• ABCD of 3d $\mathcal{N}=8$ and 4 Superconformal Field Theories
• M-Theory and Maximally Supersymmetric Gauge Theories
• Lessons from M2's and Hopes for M5's
• Membrane Quantum Mechanics
• A New Duality Between $\mathcal{N}=8$ Superconformal Field Theories in Three Dimensions
• Dualities and flavored indices of M2-brane SCFTs
• M2-Branes And The (2,0) Superalgebra
• Lectures on 4d N=1 dynamics and related topics
• Superconformal Quantum Mechanics from M2-branes
• Aspects of topologically gauged M2-branes with six supersymmetries: towards a "sequential AdS/CFT"?
• 3d superconformal indices and isomorphisms of M2-brane theories
• Flows between Dualities for 3d Chern-Simons Theories
• Integral pentagon relations for 3d superconformal indices
• Factorization of the 3d superconformal index
• N=8 SYM vs. N=6 Chern-Simons: Four-point amplitudes at two-loops
• Gravitational free energy in topological AdS/CFT
• Abelian dualities and line defect indices for 3d gauge theories
• Multiple M-branes and 3-algebras