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Generalised symmetries in linear gravity

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arxiv 2409.00178 v2 pith:ZBTBCTKD submitted 2024-08-30 hep-th gr-qc

Chris Hull , Maxwell L Hutt , Ulf Lindström This is my paper · ORCID
classification hep-thgr-qc
keywords gravitonsymmetriesdualglobalsymmetrytheorydiscussgauging
verification ladder T0 review T1 audit T2 compute T3 formal
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Linearised gravity has a global symmetry under which the graviton is shifted by a symmetric tensor satisfying a certain flatness condition. There is also a dual symmetry that can be associated with a global shift symmetry of the dual graviton theory. The corresponding conserved charges are shown to satisfy a centrally-extended algebra. We discuss the gauging of these global symmetries, finding an obstruction to the simultaneous gauging of both symmetries which we interpret as a mixed 't Hooft anomaly for the ungauged theory. We discuss the implications of this, analogous to those resulting from a similar structure in Maxwell theory, and interpret the graviton and dual graviton as Nambu-Goldstone modes for these shift symmetries.

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Cited by 7 Pith papers

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