Causal dynamical triangulation for non-critical open-closed string field theory

TL;DR

This paper extends the 2D Causal Dynamical Triangulation model to include open and closed strings, using matrix-vector models and stochastic quantization to preserve causality and develop a generalized framework.

Contribution

It introduces a modified matrix-vector model for open-closed strings within the CDT framework, incorporating stochastic quantization to realize a generalized causality-preserving model.

Findings

Successful extension of CDT to open-closed string models

Development of a matrix-vector model with CDT properties

Realization of a generalized CDT model maintaining causality

Abstract

We extend the 2 dimensional Causal Dynamical Triangulation (CDT) model from the usual model of closed string to the one of open-closed string. The matrix-vector model describing the loop gas model is modified so as to possess the nature of the CDT, i.e. the time foliation structure. Stochastic quantization method produces interactions of loop and line variables similar to those in the non-critical open-closed string field theories. By taking an appropriate scaling, we realize an extended model of the generalized CDT (GCDT), which keeps the causality in a broad sense.