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A violation of global symmetries from replica wormholes and the fate of black hole remnants
Classical and Quantum Gravity  (IF3.528),  Pub Date : 2021-09-16, DOI: 10.1088/1361-6382/ac2134
Po-Shen Hsin, Luca V Iliesiu, Zhenbin Yang

We show that the presence of replica wormholes in the Euclidean path integral of gravity leads to a non-perturbative violation of charge conservation for any global symmetry present in the low-energy description of quantum gravity. Explicitly, we compute the scattering probability between different charged states in several two-dimensional models of quantum gravity and find a non-vanishing answer. This suggests that the set of all charged states is typically over-complete, which has drastic consequences for the fate of black hole remnants that could carry a global symmetry charge. In the holographic context, we argue that the presence of such a symmetry in the effective description of the bulk should appear on the boundary as an emergent global symmetry after ensemble averaging.