Recent Developments in D=2 String Field Theory

TL;DR

This review summarizes recent progress in constructing various string field theories for two-dimensional string theory, highlighting their ability to reproduce correlation functions and exploring their interrelations.

Contribution

It provides a comprehensive overview of recent string field theory models for 2D strings, analyzing their features and connections.

Findings

Different string field theories successfully reproduce 2D string correlation functions

Analysis of discrete states and $w()$ symmetry in these theories

Discussion of relationships between various proposed models

Abstract

In this review article, we review the recent developments in constructing string field theories that have been proposed, all of which correctly reproduce the correlation functions of two-dimensional string theory. These include: (a) free fermion field theory (b) collective string field theory (c) temporal gauge string field theory (d) non-polynomial string field theory. We analyze discrete states, the $w(\infty)$ symmetry, and correlation functions in terms of these different string field theories. We will also comment on the relationship between these various field theories. (To appear in Int. J. of Mod. Phys. Written in LATEX.)