Conformal Couplings in Induced Gravity

TL;DR

This paper explores how induced gravity models with conformal couplings require conformal invariance at both classical and quantum levels for consistency, including models interacting with torsion.

Contribution

It demonstrates the necessity of conformal invariance in induced gravity theories with conformal couplings, extending to models with torsion.

Findings

Conformal invariance is essential for the consistency of induced gravity with conformal couplings.

This requirement holds at both classical and quantum levels.

Extended models with torsion also demand conformal invariance.

Abstract

It is found that the induced gravity with conformal couplings requires the conformal invariance in both classical and quantum levels for consistency. This is also true for the induced gravity with an extended conformal coupling interacting with torsion.