KPZ Formulas for Weyl-Invariant Induced Gravity and Topologically Massive Gravity

TL;DR

This paper explores the application of KPZ formulas within Weyl-invariant induced gravity and topologically massive gravity, extending their relevance beyond traditional diffeomorphism-invariant contexts.

Contribution

It demonstrates how KPZ formulas can be adapted and applied to Weyl-invariant and topologically massive gravity theories, providing new insights into their structure.

Findings

KPZ formulas are applicable in Weyl-invariant induced gravity.

KPZ formulas can be extended to topologically massive gravity.

The study bridges concepts between conformal field theory and modified gravity models.

Abstract

I discuss the applicability in Weyl-invariant induced gravity and topologically massive gravity of certain formulas originally derived by Knizhnik, Polyakov, and Zamolodchikov in the context of diffeomorphism-invariant induced gravity.