On the Nonperturbative Consistency of $d=2$ String Theory

Abstract

An infinite number of distinct $d=1$ matrix models reproduce the perturbation theory of $d=2$ string theory. Due to constraints of causality, however, we argue that none of the existing constructions gives a consistent nonperturbative definition of the $d=2$ string.

10 pages, 2 figures, LaTeX (author's name added)

References in corpus (7)

• Algebraic Structures and Differential Geometry in 2D String Theory
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• Gravitational Scattering in the c = 1 Matrix Model
• Classical Scattering in $1+1$ Dimensional String Theory
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• String theory on three dimensional black holes
• On the S-matrix of Type 0 String Theory
• Closed String Tachyon Condensation at c=1
• Black Hole Non-Formation in the Matrix Model
• What is String Theory?
• Geometric Entropy of Nonrelativistic Fermions and Two Dimensional Strings
• Folds, Bosonization and non-triviality of the classical limit of 2D string theory
• Topological Matrix Models, Liouville Matrix Model and c=1 String Theory
• Discrete State Moduli of String Theory from c=1 Matrix Model
• The Cap in the Hat: Unoriented 2D Strings and Matrix(-Vector) Models
• On The Problem of Particle Production in c=1 Matrix Model
• Degrees of freedom in two dimensional string theory
• ZZ Instantons and the Non-Perturbative Dual of c = 1 String Theory
• Hawking Effect in 2-D String Theory
• Stochastic Hamiltonian for Non-Critical String Field Theories from Double-Scaled Matrix Models
• The emergence of space-time gravitational physics as an effective theory from the c=1 matrix model
• On Tachyon condensation and open-closed duality in the c=1 string theory
• Doubling of Scattering Phase Shifts for Two Dimensional Strings
• Ward Identities of W_{\infty} Symmetry and Higher Genus Amplitudes in 2D String Theory