English

Classical geometry from the tensionless string

High Energy Physics - Theory 2023-06-16 v2

Abstract

Tensionless string theory on AdS3×S3×M\text{AdS}_3\times\text{S}^3\times\mathcal{M} is explored in the limit that the strings wind the asymptotic boundary a large number of times. Although the worldsheet is usually thought to be localised to the AdS\text{AdS} boundary, we argue that the string can actually probe the bulk geometry in this limit. In particular, we show that correlation functions can be expressed in terms of a minimal-area worldsheet propagating in AdS3\text{AdS}_3. We then relate the classical motion of the string to the twistor-like free field description of the tensionless worldsheet theory. Finally, we consider a particular dimensional reduction of AdS3\text{AdS}_3 to AdS2\text{AdS}_2, and show that the effective action of the worldsheet formally resembles the one-dimensional Schwarzian theory of JT gravity with conical defects.

Keywords

Cite

@article{arxiv.2207.01293,
  title  = {Classical geometry from the tensionless string},
  author = {Bob Knighton},
  journal= {arXiv preprint arXiv:2207.01293},
  year   = {2023}
}

Comments

45 pages, 9 figures

R2 v1 2026-06-24T12:12:58.558Z