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arXiv · 1906.06879

On N-spike strings in conformal gauge with NS-NS fluxes

Aritra Banerjee·Sagar Biswas·Priyadarshini Pandit·Kamal L. Panigrahi
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Abstract

The $AdS_3\times S^3$ string sigma model supported both by NS-NS and R-R fluxes has become a well known integrable model, however a putative dual field theory description remains incomplete. We study the anomalous dimensions of twist operators in this theory via semiclassical string methods. We describe the construction of a multi-cusp closed string in conformal gauge moving in $AdS_3$ with fluxes, which supposedly is dual to a general higher twist operator. After analyzing the string profiles and conserved charges for the string, we find the exact dispersion relation between the charges in the `long' string limit. This dispersion relation in leading order turns out to be similar to the case of pure RR flux, with the coupling being scaled by a factor that depends on the amount of NS-NS flux turned on. We also analyse the case of pure NS flux, where the dispersion relation simplifies considerably. Furthermore, we discuss the implications of these results at length.

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Aritra Banerjee, Sagar Biswas, Priyadarshini Pandit, Kamal L. Panigrahi. 2019-06-17. On N-spike strings in conformal gauge with NS-NS fluxes. https://doi.org/10.1007/jhep08(2019)124

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