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arxiv: 1811.07676 · v4 · submitted 2018-11-19 · 🌀 gr-qc

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`Hidden' symmetry of linearized gravity in de Sitter space

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classification 🌀 gr-qc
keywords gravitylinearizedsymmetryhiddensitteradditionalanomalousarbitrary
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We demonstrate that the linearized Einstein gravity in de Sitter (dS) spacetime besides the evident symmetries also possesses the additional (local) symmetry $h_{\mu\nu}\rightarrow h_{\mu\nu} + {\cal E}_{\mu\nu}\chi$, where ${\cal E}_{\mu\nu}$ is a spin-two projector tensor and $\chi$ is an arbitrary constant function. We argue that an anomalous symmetry associated with this hitherto `hidden' property of the existing physics is indeed at the origin of `dS breaking' in linearized quantum gravity.

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