Affiliation:
1. Harvard University
2. Institute for Advanced Study
Abstract
We continue our study of string correlators on Euclidean
\text{AdS}_3AdS3
with pure NS-NS flux. The worldsheet and spacetime correlators have a
rich analytic structure, which we analyse completely for genus 0
four-point functions. We show that correlators exhibit a simple
behaviour near their singularities. The spacetime correlators are
meromorphic functions in the \mathrm{SL}(2,\mathbb{R})SL(2,ℝ)-spins,
whose pole structure is shown to agree with the prediction of a recent
proposal for the dual \text{CFT}_2CFT2.
Moreover, we also compute the residues of the spacetime correlators for
some of the poles exactly and find again a perfect match with the
proposal for the dual \text{CFT}_2CFT2,
thereby checking the duality for some non-trivial four-point functions
exactly. Our computations simplify drastically in the tensionless limit
of \mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathbb{T}^4AdS3×S3×𝕋4
where the behaviour near the poles gives in fact the exact answer. This
paper is the third in a series with several installments.
Funder
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
United States Department of Energy
Subject
General Physics and Astronomy
Cited by
7 articles.
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