Multi-spike strings in $Ad{S}_3$ with mixed three-form fluxes

Abstract

The string sigma model in $Ad{S}_3\times S^3$ 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 $-\frac{b^2}{2}\log S$. We also discuss the fate of the solution in the limit of pure NS-NS flux.

18 pages

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Cited by in corpus (5)

• D1 string dynamics in curved backgrounds with fluxes
• On N-spike strings in conformal gauge with NS-NS fluxes
• Minimal surfaces with mixed three-form flux
• $SL(2,Z)$ invariant rotating $(m,n)$ strings in $Ad{S}_3\times S^3$ with mixed flux
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes