Generalized symmetries and 2-groups via electromagnetic duality in AdS/CFT

Abstract

We discuss how electromagnetically dualizing a 1-form to a 2-form in AdS${}_5$ exchanges regular and alternate boundary conditions, and thus gauges the originally global $U(1)$ symmetry in the dual field theory. The generalized symmetry current dual to the 2-form in the bulk is identified as the dual field strength of the gauged $U(1)$, and the associated double-trace operator with a logarithmically running coupling is just the gauged $U(1)$ Maxwell action. Applying this dualization to an AdS Maxwell-Chern-Simons theory dual to a global $U(1)\times U(1)$ model with an 't Hooft anomaly results in a theory with a modified field strength that holographically realizes a 2-group symmetry. We explicitly carry out the holographic renormalization to verify this, and discuss the generalization to other rank fields in other dimensions.

arXiv comment21 pages, 2 figures. v2: References and small elaborations added, typo corrected

References in corpus (36)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Generalized Global Symmetries
• Lecture Notes on Holographic Renormalization
• AdS/CFT Correspondence and Symmetry Breaking
• Holographic Renormalization
• How to go with an RG Flow
• Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence
• Exploring 2-Group Global Symmetries
• On gauging finite subgroups
• On 2-Group Global Symmetries and Their Anomalies
• Higher-Dimensional Algebra V: 2-Groups
• "Double-trace" Deformations, Boundary Conditions and Spacetime Singularities
• Multi-Trace Deformations in AdS/CFT: Exploring the Vacuum Structure of the Deformed CFT
• Boundary Conditions and Dualities: Vector Fields in AdS/CFT
• AdS/CFT Correspondence And Topological Field Theory
• Holography of the N=1 Higher-Spin Theory on AdS4
• Multiple-Trace Operators and Non-Local String Theories
• SL(2,Z) Action on Three-Dimensional CFTs and Holography
• Holographic renormalization as a canonical transformation
• Higher Gauge Theory: 2-Connections on 2-Bundles
• Generalized global symmetries and holography
• Higher-form symmetries and 3-group in axion electrodynamics
• 2-Group Symmetries of 6d Little String Theories and T-duality
• Generalised global symmetries in states with dynamical defects: the case of the transverse sound in field theory and holography
• Generalised global symmetries in holography: magnetohydrodynamic waves in a strongly interacting plasma
• Generalized symmetries and holography in ABJM-type theories
• L-infinity algebra connections and applications to String- and Chern-Simons n-transport
• Symmetries and Anomalies of (1+1)d Theories: 2-groups and Symmetry Fractionalization
• Conformal blocks for AdS5 singletons
• A Note on AdS/CFT Dual of SL(2,Z) Action on 3D Conformal Field Theories with U(1) Symmetry
• 2-group global symmetries, hydrodynamics and holography
• From Loop Groups to 2-Groups
• Holography, Duality and Higher-Spin Theories
• Connections on non-abelian Gerbes and their Holonomy

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• $p$-Form Surface Charges on AdS: Renormalization and Conservation
• Pole-skipping of Holographic Correlators: Aspects of Gauge Symmetry and Generalizations
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