Green-Schwarz superstring action for (p,q)-strings from a wrapped supermembrane on a 2-torus

TL;DR

This paper derives the Green-Schwarz superstring action for (p,q)-strings from a wrapped supermembrane on a 2-torus, incorporating both NSNS and RR background couplings, and matching the (p,q)-string tension.

Contribution

It presents a direct derivation of the (p,q)-string action from a wrapped supermembrane using double dimensional reduction and T-duality.

Findings

Derived the (p,q)-string action with correct tension.

Included couplings to both NSNS and RR fields.

Established a link between supermembrane wrapping and (p,q)-strings.

Abstract

We consider a wrapped supermembrane around non-trivial two cycles of a 2-torus. We examine the double dimensional reduction and the T-dual transformation to deduce Green-Schwarz type IIB superstring action for (p,q)-strings directly from the wrapped supermembrane on the 2-torus. The resulting action has the couplings with both the NSNS- and the RR-background fields and has the tension of the (p,q)-string.