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arXiv · 2311.09582

Quantum Conformal Gravity

Ichiro Oda·Misaki Ohta
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Abstract

We present the manifestly covariant canonical operator formalism of a Weyl invariant (or equivalently, a locally scale invariant) gravity whose classical action consists of the well-known conformal gravity and Weyl invariant scalar-tensor gravity, on the basis of the Becchi-Rouet-Stora-Tyupin (BRST) formalism. It is shown that there exists a Poincar${\rm{\acute{e}}}$-like $\mathit{IOSp}(8|8)$ global symmetry as in Einstein's general relativity, which should be contrasted to the case of only the Weyl invariant scalar-tensor gravity where we have a more extended Poincar${\rm{\acute{e}}}$-like $\mathit{IOSp}(10|10)$ global symmetry. This reduction of the global symmetry is attributed to the presence of the St\"{u}ckelberg symmetry.

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Ichiro Oda, Misaki Ohta. 2023-11-16. Quantum Conformal Gravity. https://arxiv.org/abs/2311.09582

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