Global symmetries are forbidden in quantum gravity theories
Is it true that global symmetries are forbidden in quantum gravity theories?
Yes. Current theoretical research in quantum gravity, including swampland conjectures and holographic arguments, strongly supports the principle that exact global symmetries are forbidden.
Verdict: SUPPORTED · 3 sources for, 0 against · Last checked
The retrieved papers include multiple works directly analyzing and affirming the absence of global symmetries in quantum gravity, connecting it to the swampland program, AdS/CFT consistency, and topological path integral arguments. There are no refuting papers.
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Yonekura, K. (2021). Topological violation of global symmetries in quantum gravity. doi.org. https://doi.org/10.1007/jhep09(2021)036
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Borissova, J., Eichhorn, A., & Ray, S. (2025). A non-local way around the no-global-symmetries conjecture in quantum gravity?. doi.org. https://doi.org/10.1088/1361-6382/ada2d4
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D, H. & H, O. (2019). Constraints on Symmetries from Holography.. doi.org. https://doi.org/10.1103/physrevlett.122.191601
What does the evidence say?
The retrieved papers include multiple works directly analyzing and affirming the absence of global symmetries in quantum gravity, connecting it to the swampland program, AdS/CFT consistency, and topological path integral arguments. There are no refuting papers.
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