The Affine-Metric Quantum Gravity with Extra Local Symmetries

TL;DR

This paper explores the role of extra local symmetries in affine-metric quantum gravity, constructing BRST transformations and analyzing their impact on the effective action and potential anomalies.

Contribution

It introduces additional local symmetries in affine-metric gravity and constructs their BRST transformations, analyzing their effects on the effective action and anomaly structure.

Findings

Extra symmetries contribute additional terms to the effective action.

No anomalies are associated with the extra local symmetries.

BRST transformations for all symmetries are explicitly constructed.

Abstract

We discuss the role of additional local symmetries related to the transformations of connection fields in the affine-metric theory of gravity. The corresponding BRST transformations connected with all symmetries (general coordinate, local Lorentz and extra) are constructed. It is shown, that extra symmetries give the additional contribution to effective action which is proportional to the corresponding Nielsen-Kallosh ghost one. Some arguments are given, that there is no anomaly associated with extra local symmetries.