A note on oscillating strings in AdS3×S3 with mixed three-form fluxes

Abstract

We present a detailed study of the pulsating string solutions in AdS3 × S 3 supported by both RR and NS-NS fluxes. This background has recently been proved to be integrable. We find the dispersion relation between the energy, oscillation number and other conserved charges when the NS-NS flux turned on is small. We further discuss the fate of the string solutions in pure RR and NS-NS cases.