2023/11/16 by Ichiro Oda, Oda, Ichiro, Misaki Ohta +1 · 2 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.2311.09582
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\acutee-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 Poincar\rm\acutee-like IOSp(10|10) global symmetry. This reduction of the global symmetry is attributed to the presence of the Stückelberg symmetry.