(p,q)-string in matrix-regularized membrane and type IIB duality

TL;DR

This paper derives the (p,q)-string in type IIB superstring theory from a matrix-regularized supermembrane wrapped on a 2-torus, exploring duality and resulting in a super Yang-Mills action in curved space.

Contribution

It explicitly constructs the (p,q)-string from a wrapped supermembrane using matrix regularization and analyzes the associated duality and super Yang-Mills theory in curved backgrounds.

Findings

Derived the (p,q)-string from supermembrane in matrix regularization.

Obtained the super Yang-Mills action in curved background.

Explored duality properties of the (p,q)-string system.

Abstract

We consider a lightcone wrapped supermembrane compactified on 2-torus in the matrix regularization. We examine the double dimensional reduction technique and deduce the free matrix string of (p,q)-string in type IIB superstring theory explicitly from the matrix-regularized wrapped supermembrane. In addition we obtain the (2+1)-dimensional super Yang-Mills action in curved background. We also examine the duality.