English

Higher spins on AdS$_{3}$ from the worldsheet

High Energy Physics - Theory 2018-10-09 v1

Abstract

It was recently shown that the CFT dual of string theory on AdS3×S3×T4{\rm AdS}_3 \times {\rm S}^3 \times T^4, the symmetric orbifold of T4T^4, 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 N=4{\cal N}=4 Vasiliev higher spin theory. We also show that these higher spin states do not become massless, except for the somewhat singular case of level k=1k=1 where the theory contains a stringy tower of massless higher spin fields coming from the long string sector.

Keywords

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

R2 v1 2026-06-22T19:30:05.678Z