Multi-spike strings in AdS₃ with mixed three-form fluxes

The string sigma model in AdS₃×S³ supported by mixed three-form fluxes has recently been proved to be integrable which led to a plethora of work in this background including proposals for S matrix and study of semiclassical string profiles. Motivated by this, in this paper, we present a study of 'spiky' strings in this background. We analyze the string profiles in detail and also find the dispersion relation between the charges in the 'long' string limit after solving the equations of motion perturbatively upto the leading order in the Neveu-Schwarz flux b. We find that the dispersion for 2 spikes gets corrected by the term −((b²)/2)log S. We also discuss the fate of the solution in the limit of pure NS-NS flux.