On multi-spin classical strings with NS-NS flux

TL;DR

This paper investigates multi-spin semiclassical strings in an $AdS_3\times S^3 \times T^4$ background with mixed NS-NS and R-R fluxes, analyzing their profiles, energy-angular momentum relations, and behavior in the pure NS-NS flux limit.

Contribution

It classifies rigidly spinning string solutions in mixed flux backgrounds and examines how fluxes alter their energy-angular momentum relations and profiles.

Findings

Classified possible string profiles in mixed flux backgrounds.

Derived how fluxes modify energy-angular momentum scaling.

Analyzed the pure NS-NS flux limit and solution behavior.

Abstract

We study multi spin semiclassical strings in $AdS_3\times S^3 \times T^4$ 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 $AdS_3\times S^1$ 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.