Scalar Field on a higher-spin Background via Fedosov quantization
High Energy Physics - Theory
2024-12-31 v1
Abstract
Conformal higher-spin gravity is the log-divergent part of the effective action of the scalar field coupled to background fields via higher-spin currents, as was defined by Segal and Tseytlin, which can be worked out over the flat space background. We revisit the problem of the scalar field in a higher-spin background and propose a manifestly covariant version thereof. The construction utilizes the Fedosov quantization of the cotangent bundle and the action is written with the help of the trace on a curved phase space that is provided by the Feigin--Felder--Shoikhet cocycle. The same construction allows one to formulate quantum mechanics on a curved space, the phase space being the cotangent bundle.
Cite
@article{arxiv.2412.20459,
title = {Scalar Field on a higher-spin Background via Fedosov quantization},
author = {Thomas Basile and Shailesh Dhasmana and Evgeny Skvortsov},
journal= {arXiv preprint arXiv:2412.20459},
year = {2024}
}