Gravitational Solitons and Completeness

Abstract

We show that gravitational solitons naturally carry gauge charges beyond those of any local quantum field. The effect of these charged excitations is to break a non-invertible symmetry to its maximal group-like sub-symmetry. Taking these charges into account, we show that the Completeness Hypothesis follows from the breaking of the remaining group-like symmetry. We generalize this picture to an arbitrary semisimple tensor category of particle charges, showing that the charges of gravitational solitons form the adjoint subcategory. We discuss a further generalization involving the charges of extended objects.

8 pages, 5 figures

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Cited by in corpus (11)

• Non-Invertible Duality Defects in 3+1 Dimensions
• Non-Invertible Global Symmetries and Completeness of the Spectrum
• On completeness and generalized symmetries in quantum field theory
• Topological Defect Lines in Two Dimensional Fermionic CFTs
• On a class of selection rules without group actions in field theory and string theory
• A universal formula for the density of states in theories with finite-group symmetry
• Finiteness and the Emergence of Dualities
• Asymptotic safety, quantum gravity, and the swampland: a conceptual assessment
• Monopole Breaking of Chern-Weil Symmetries
• Axialgravisolitons at infinite corners
• Non-Invertible Gauss Law and Axions