The S-Matrix of 2D Type 0B String Theory Part 1: Perturbation Theory Revisited

TL;DR

This paper computes the perturbative S-matrix of 2D type 0B string theory using worldsheet methods, confirming agreement with dual matrix quantum mechanics at tree level, and sets the stage for non-perturbative analysis.

Contribution

It provides a detailed worldsheet calculation of the perturbative S-matrix in 2D type 0B string theory, validating the duality with matrix quantum mechanics at tree level.

Findings

Tree-level 3- and 4-point amplitudes match dual matrix quantum mechanics.

Correlation functions computed via recurrence relations agree with theoretical predictions.

Framework established for future non-perturbative studies.

Abstract

We study the perturbative S-matrix of closed strings in the two-dimensional type 0B string theory from the worldsheet perspective, by directly integrating correlation functions of ${\cal N}=1$ Liouville theory. The latter is computed numerically using recurrence relations for super-Virasoro conformal blocks. We show that the tree level 3- and 4-point amplitudes are in agreement with the proposed dual matrix quantum mechanics. The non-perturbative aspects of the duality will be analyzed in a companion paper.