Spiky strings on 𝐴��𝑑��𝑆��3×𝑆��3 with NS-NS flux

Abstract

We study rigidly rotating strings in the background of 𝐴𝑑𝑆3×𝑆3 with Neveu-Schwarz fluxes. We find two interesting limiting cases corresponding to the known giant magnon and the new single spike solution of strings in the above background and write down the dispersion relations among various conserved charges. We use proper regularization to find the correct relations among them. We further study the circular strings and infinite spikes on anti–de Sitter (AdS) and study their properties.