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We consider a wrapped supermembrane around non-trivial two cycles of a2-torus. We examine the double dimensional reduction and the T-dualtransformation to deduce Green-Schwarz type IIB superstring action for(p,q)-strings directly from the wrapped supermembrane on the 2-torus. Theresulting action has the couplings with both the NSNS- and the RR-backgroundfields and has the tension of the (p,q)-string.

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