Interaction of F- and D-strings in the Matrix Model

TL;DR

This paper explores the interaction between F- and D-strings within the matrix model framework, revealing non-perturbative effects, bound states, and S-duality features in string theory through T-duality analysis.

Contribution

It demonstrates how key non-perturbative string theory phenomena can be observed in matrix models, providing insights into D-brane interactions and dualities.

Findings

Identification of non-perturbative effects in matrix models

Existence of (1,1) bound states in string interactions

Manifestation of S-duality in the matrix model context

Abstract

We study a configuration of a parallel F- (fundamental) and D- string in IIB string theory by considering its T-dual configuration in the matrix model description of M-theory. We show that certain non-perturbative features of string theory such as $O(e^{-\frac{1}{g_{s}}})$ effects due to soliton loops, the existence of bound state (1,1) strings and manifest S-duality, can be seen in matrix models. We discuss certain subtleties that arise in the large-N limit when membranes are wrapped around compact dimensions.