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 (10)

• Generalized Global Symmetries
• Symmetries and Strings in Field Theory and Gravity
• Comments on One-Form Global Symmetries and Their Gauging in 3d and 4d
• Universal Non-Invertible Symmetries
• Branes and Non-Invertible Symmetries
• Exploring Non-Invertible Symmetries in Free Theories
• Semi-Abelian gauge theories, non-invertible symmetries, and string tensions beyond $N$-ality
• Decomposition, condensation defects, and fusion
• Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices
• Wormholes from heavy operator statistics in AdS/CFT

Cited by in corpus (6)

• Fusion Surface Models: 2+1d Lattice Models from Fusion 2-Categories
• SymTFTs and Duality Defects from 6d SCFTs on 4-manifolds
• Comments on Non-invertible Symmetries in Argyres-Douglas Theories
• Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs
• Generalized chiral instabilities, linking numbers, and non-invertible symmetries
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme