Higher derivative quantum gravity with torsion in the conformally Self-Dual Limit

TL;DR

This paper investigates higher-derivative quantum gravity with torsion within the conformally self-dual limit, deriving a scaling law for fixed-volume geometries using two-dimensional quantum gravity techniques.

Contribution

It introduces a novel analysis of the path integral for higher-derivative quantum gravity with torsion in the conformally self-dual limit, applying two-dimensional methods.

Findings

Derived a scaling law for fixed-volume geometries.

Analyzed the path integral in the conformally self-dual limit.

Extended methods of 2D quantum gravity to higher-derivative gravity with torsion.

Abstract

The path integral for higher-derivative quantum gravity with torsion is considered. Applying the methods of two-dimensional quantum gravity, this path integral is analyzed in the limit of conformally self-dual metrics. A scaling law for fixed-volume geometry is obtained.