(m,n)-Strings In IIB Matrix Model

TL;DR

This paper introduces (m,n)-strings into the IIB matrix model by incorporating gauge fields into D-string solutions, revealing their tension's SL(2,Z) invariance and consistent interactions with string theory predictions.

Contribution

It presents a novel method to realize (m,n)-strings within the IIB matrix model using gauge fields, and analyzes their properties and interactions.

Findings

String tension exhibits SL(2,Z) invariance.

Interactions match string theory for small electric fields.

Matrix size depends on electric field value.

Abstract

By adding gauge fields to the D-string classical solution, which have non-zero contribution to commutators in continuum limit (extreme large $N$), we introduced $(m,n)$-strings in IIB matrix model. It is found that the size of matrices depends on the value of the electric field. The tension of these strings appears in $SL(2,Z)$ invariant form. The interaction for parallel and angled strings are found in agreement with the string theory for small electric fields.