Abstract
The AdS3 × S3 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 AdS3 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.
Highlights
JHEP08(2019)124 of certain operators in the SL(2) sector of the SYM theory to energy-spin relation of closed strings spinning in AdS3 ⊂ AdS5
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
1, π α here R is the radius of AdS and α is the string tension parameter. This string is a special case of a spinning spiky string, which is related to twist operators with derivatives on several fields, where the derivative contribution dominates in the large spin limit
Summary
We provide a short review of the construction of multi-spike string in conformal gauge. We would be closely following the conventions and notations of [6] throughout
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