A Matrix Model Dual of Type 0B String Theory in Two Dimensions

TL;DR

This paper proposes a duality between two-dimensional type 0B string theory and a one-dimensional bosonic matrix model, providing evidence for the correspondence and exploring related brane dynamics.

Contribution

It introduces a matrix model dual for 2D type 0B string theory, linking string sectors to matrix operators and analyzing D-brane configurations.

Findings

Matrix model reproduces perturbative string S-matrix.

Matrix model captures closed string emission from unstable D-branes.

Type 0A theory described by brane-antibrane quantum mechanics.

Abstract

We propose that type 0B string theory in two dimensions admits a dual description in terms of a one dimensional bosonic matrix model of a hermitian matrix. The potential in the matrix model is symmetric with respect to the parity-like Z_2 transformation of the matrix. The two sectors in the theory, namely the NSNS and RR scalar sectors correspond to two classes of operators in the matrix model, even and odd under the Z_2 symmetry respectively. We provide evidence that the matrix model successfully reconstructs the perturbative S-matrix of the string theory, and reproduces the closed string emission amplitude from unstable D-branes. Following recent work in two dimensional bosonic string, we argue that the matrix model can be identified with the theory describing N unstable D0-branes in type 0B theory. We also argue that type 0A theory is described in terms of the quantum mechanics of brane-antibrane systems.