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Quantum conformal gravity
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DOI：10.1007/JHEP02(2024)213.png)
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Abstract
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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 Poincare-like 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 Poincare-like IOSp(10|10) global symmetry. This reduction of the global symmetry is attributed to the presence of the Stuckelberg symmetry.
Keywords:
Scale and Conformal Symmetries
BRST Quantization
Models of Quantum Gravity
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5.5
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4.0W
Citations:
13.7W
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