Non-Invertible Symmetries in Supergravity

Abstract

Non-invertible symmetries have been extensively studied in quantum field theories in recent years. In this note we initiate their study in supergravity. We find infinite families of non-invertible defects in 11d and 10d Type II supergravities. These operators display a rich action on different probe branes. We comment on how these symmetries are removed in the UV completion, M-theory and Type II String Theory and how their existence strengthens the link between the absence of global symmetries in Quantum Gravity and the Completeness Hypothesis.

24 pages, 2 Figures

References in corpus (29)

• Generalized Global Symmetries
• Symmetries and Strings in Field Theory and Gravity
• Kramers-Wannier-like duality defects in (3+1)d gauge theories
• Non-Invertible Duality Defects in 3+1 Dimensions
• Symmetries and Strings of Adjoint QCD${}_2$
• Orbifold groupoids
• Comments on One-Form Global Symmetries and Their Gauging in 3d and 4d
• Non-Invertible Higher-Categorical Symmetries
• Non-Invertible Global Symmetries and Completeness of the Spectrum
• Universal Non-Invertible Symmetries
• Non-Invertible Symmetries from Holography and Branes
• Non-Invertible Symmetries of $\mathcal{N}=4$ SYM and Twisted Compactification
• The Branes Behind Generalized Symmetry Operators
• Non-invertible Time-reversal Symmetry
• Branes and Non-Invertible Symmetries
• Topological Operators and Completeness of Spectrum in Discrete Gauge Theories
• Exploring Non-Invertible Symmetries in Free Theories
• A violation of global symmetries from replica wormholes and the fate of black hole remnants
• On Continuous 2-Category Symmetries and Yang-Mills Theory
• Non-invertible 1-form symmetry and Casimir scaling in 2d Yang-Mills theory
• Global symmetry, Euclidean gravity, and the black hole information problem
• Non-invertible self-duality defects of Cardy-Rabinovici model and mixed gravitational anomaly
• Chern-Weil Global Symmetries and How Quantum Gravity Avoids Them
• Semi-Abelian gauge theories, non-invertible symmetries, and string tensions beyond $N$-ality
• Decomposition, condensation defects, and fusion
• Generalized Symmetry Breaking Scales and Weak Gravity Conjectures
• Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices
• Signatures of global symmetry violation in relative entropies and replica wormholes
• Wormholes from heavy operator statistics in AdS/CFT

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• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme