Generalized symmetries and holography in ABJM-type theories

Abstract

We revisit the N=6 superconformal Chern-Simons-matter theories and their supergravity duals in the context of generalized symmetries. This allows us to finally clarify how the $SU(N)\times SU(N)$ and $(SU(N)\times SU(N))/{\mathbb{Z}}_N$ theories, as well as other quotient theories that have recently been discussed, fit into the holographic framework. It also resolves a long standing puzzle regarding the di-baryon operator in the $U(N)\times U(N)$ theory.

27 pages

References in corpus (8)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Generalized Global Symmetries
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Fractional M2-branes
• Comments on the Bagger-Lambert theory and multiple M2-branes
• SL(2,Z) Action On Three-Dimensional Conformal Field Theories With Abelian Symmetry
• Comments on Baryon-like Operators in N=6 Chern-Simons-matter theory of ABJM

Cited by in corpus (30)

• The Branes Behind Generalized Symmetry Operators
• Non-invertible Symmetries of Class $\mathcal{S}$ Theories
• Lecture Notes on Generalized Symmetries and Applications
• Symmetry TFTs for 3d QFTs from M-theory
• Discrete and higher-form symmetries in SCFTs from wrapped M5-branes
• 2-Group Symmetries and M-Theory
• Holography, 1-Form Symmetries, and Confinement
• Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices
• Generalized symmetries and 2-groups via electromagnetic duality in AdS/CFT
• Higher Form Symmetries TFT in 6d
• Instantons, Symmetries and Anomalies in Five Dimensions
• Relative Defects in Relative Theories: Trapped Higher-Form Symmetries and Irregular Punctures in Class S
• Finite-$N$ corrections to the M-brane indices
• Anomalies of Generalized Symmetries from Solitonic Defects
• On the Symmetry TFT of Yang-Mills-Chern-Simons theory
• Zero-form and one-form symmetries of the ABJ and related theories
• M5-branes Probing Flux Backgrounds
• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
• Generalized Symmetries and Anomalies of 3d N=4 SCFTs
• Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I
• Dualities and flavored indices of M2-brane SCFTs
• 3d $\mathcal{N}=4$ mirror symmetry with 1-form symmetry
• Trinions for the $3d$ compactification of the $5d$ rank 1 $E_{N_f+1}$ SCFTs
• Monopoles and confinement in three dimensions from holography
• Spin Structures and AdS${}_4$ Holography
• Compactifying 5d superconformal field theories to 3d
• Abelian dualities and line defect indices for 3d gauge theories
• Comments on Holographic Level/Rank Dualities
• Symmetry TFTs from String Theory
• On the Search for Multicenter AdS Black Holes from M-theory