On 2D gravity coupled to $c\leq 1$ matter in Polyakov light-cone gauge

TL;DR

This paper introduces a new formulation for 2D gravity coupled to matter with central charge c ≤ 1, enabling calculation of correlation functions in a Polyakov light-cone gauge setting.

Contribution

It presents a novel approach to 2D gravity coupled to c ≤ 1 matter, closely analogous to existing models but with well-defined global properties for computing correlation functions.

Findings

Derived three-point correlation functions of discrete states

Established a well-defined global framework for the model

Demonstrated the model's consistency with known theories

Abstract

A new formulation of $c\leq 1$ matter coupled to 2D gravity is proposed. This model, being closely analogous to one in the Polyakov light-cone gauge, possesses well defined global properties which allow to calculate correlation functions. As an example, the three point correlation functions of discrete states are found.