Equivalence of Geometric h<1/2 and Standard c>25 Approaches to Two-Dimensional Quantum Gravity

TL;DR

This paper demonstrates the equivalence between two different regimes in two-dimensional quantum gravity, linking the standard c>25 approach with the geometric h<1/2 approach, clarifying their relationship.

Contribution

It establishes the equivalence between the geometric approach and the standard approach in two-dimensional quantum gravity for specific parameter regimes.

Findings

Proves the equivalence between the two regimes

Bridges geometric and standard quantum gravity methods

Clarifies the parameter space relationship

Abstract

We show equivalence between the standard weak coupling regime c>25 of the two-dimensional quantum gravity and regime h<1/2 of the original geometric approach of Polyakov [1,2], developed in [3,4,5].