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Generalized Symmetry Breaking Scales and Weak Gravity Conjectures

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arxiv 2202.05866 v1 pith:BF4LK2ML submitted 2022-02-11 hep-th hep-ph

Clay Cordova , Kantaro Ohmori , Tom Rudelius This is my paper
classification hep-thhep-ph
keywords gravityconjecturequantumsymmetriestheoryweakconjecturesgeneralized
verification ladder T0 review T1 audit T2 compute T3 formal
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We explore the notion of approximate global symmetries in quantum field theory and quantum gravity. We show that a variety of conjectures about quantum gravity, including the weak gravity conjecture, the distance conjecture, and the magnetic and axion versions of the weak gravity conjecture can be motivated by the assumption that generalized global symmetries should be strongly broken within the context of low-energy effective field theory, i.e. at a characteristic scale less than the Planck scale where quantum gravity effects become important. For example, the assumption that the electric one-form symmetry of Maxwell theory should be strongly broken below the Planck scale implies the weak gravity conjecture. Similarly, the violation of generalized non-invertible symmetries is closely tied to analogs of this conjecture for non-abelian gauge theory. This reasoning enables us to unify these conjectures with the absence of global symmetries in quantum gravity.

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Cited by 11 Pith papers

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