The operator algebra of the discrete state operators in 2D gravity with non-vanishing cosmological constant

TL;DR

This paper investigates the algebraic structure of discrete state operators in two-dimensional gravity with a non-zero cosmological constant, providing insights into the physical state space of such theories.

Contribution

It computes the operator algebra of discrete states in 2D gravity with a cosmological constant, extending previous analyses to include this non-vanishing parameter.

Findings

Operator algebra of discrete states explicitly calculated

Insights into the structure of physical states in 2D gravity

Extension of previous models to non-zero cosmological constant

Abstract

Remarks are given to the structure of physical states in 2D gravity coupled to $C\leq 1$ matter. The operator algebra of the discrete state operators is calculated for the theory with non-vanishing cosmological constant.