Higher spins on AdS$_{3}$ from the worldsheet
Abstract
It was recently shown that the CFT dual of string theory on , the symmetric orbifold of , contains a closed higher spin subsector. Via holography, this makes precise the sense in which tensionless string theory on this background contains a Vasiliev higher spin theory. In this paper we study this phenomenon directly from the worldsheet. Using the WZW description of the background with pure NS-NS flux, we identify the states that make up the leading Regge trajectory and show that they fit into the even spin Vasiliev higher spin theory. We also show that these higher spin states do not become massless, except for the somewhat singular case of level where the theory contains a stringy tower of massless higher spin fields coming from the long string sector.
Cite
@article{arxiv.1704.08667,
title = {Higher spins on AdS$_{3}$ from the worldsheet},
author = {Kevin Ferreira and Matthias R. Gaberdiel and Juan I. Jottar},
journal= {arXiv preprint arXiv:1704.08667},
year = {2018}
}
Comments
29+8 pages, 3 figures