Isolated States and the Classical Phase Spase of 2-d String Theory

TL;DR

This paper explores the classical phase space of 2-dimensional string theory, deriving equations for spacetime fields and identifying the origins of isolated states within the theory.

Contribution

It provides a detailed derivation of covariant equations for spacetime fields and clarifies the origins of isolated states in 2-d string theory's phase space.

Findings

Derived linearised covariant equations for spacetime fields

Identified gauge invariances and their role in phase space

Clarified the origins of isolated states in the theory

Abstract

We investigate the classical phase space of 2-d string theory. We derive the linearised covariant equations for the spacetime fields by considering the most general deformation of the energy-momentum tensor which describes $c=1$ matter system coupled to 2-d gravity and by demanding that it respect conformal invariance. We derive the gauge invariances of the theory, and so investigate the classical phase space, defined as the space of all solutions to the equations of motion modulo gauge transformations. We thus clarify the origins of two classes of isolated states.