On touching random surfaces, two-dimensional quantum gravity and non-critical string theory

TL;DR

This paper identifies physical operators responsible for touching interactions in 2D quantum gravity coupled with conformal matter, explores their implications for non-critical string theory, and discusses analogies with four-dimensional quantum gravity.

Contribution

It introduces a set of physical operators for touching interactions in 2D quantum gravity with c<1 matter, advancing understanding of non-critical string theory and related quantum gravity phenomena.

Findings

Operators responsible for touching interactions identified

Analogies with four-dimensional quantum gravity discussed

Implications for non-critical bosonic strings analyzed

Abstract

A set of physical operators which are responsible for touching interactions in the framework of c<1 unitary conformal matter coupled to 2D quantum gravity is found. As a special case the non-critical bosonic strings are considered. Some analogies with four dimensional quantum gravity are also discussed, e.g. creation-annihilation operators for baby universes, Coleman mechanism for the cosmological constant.