On multi-spin classical strings with NS-NS flux

Abstract

Abstract We study multi spin semiclassical strings in AdS 3 × S 3 × T 4 background supported by a mixture of Neveu-Schwarz-Neveu-Schwarz (NS-NS) and Ramond-Ramond (R-R) fluxes. This ‘mixed flux’ background has been recently proved to be classically integrable. We start with a particular rigidly spinning fundamental string in AdS 3 ×S 1 coupled to the NS-NS flux and classify the possible profiles. We also find out how the scaling relation among the energy and angular momenta of such a string changes due to presence of these fluxes. We emphasize on pure NS-NS flux case and discuss the fate of such solutions in that limit.