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String correlators on $\text{AdS}_3$: Analytic structure and dual CFT

by Andrea Dei, Lorenz Eberhardt

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Submission summary

Authors (as registered SciPost users): Andrea Dei · Lorenz Eberhardt
Submission information
Preprint Link: https://arxiv.org/abs/2203.13264v2  (pdf)
Date accepted: 2022-08-16
Date submitted: 2022-07-26 09:31
Submitted by: Dei, Andrea
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
Approach: Theoretical

Abstract

We continue our study of string correlators on Euclidean $\text{AdS}_3$ 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 $\mathrm{SL}(2,\mathbb{R})$-spins, whose pole structure is shown to agree with the prediction of a recent proposal for the dual $\text{CFT}_2$. 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 $\text{CFT}_2$, thereby checking the duality for some non-trivial four-point functions exactly. Our computations simplify drastically in the tensionless limit of $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathbb{T}^4$ where the behaviour near the poles gives in fact the exact answer. This paper is the third in a series with several installments.

List of changes

A detailed list of all the changes can be found in the comment to the referee's report.

Published as SciPost Phys. 13, 053 (2022)


Reports on this Submission

Report 1 by Sylvain Ribault on 2022-8-7 (Invited Report)

Report

In the second version of this article, a number of points have been clarified following my suggestions. Some other suggestions were not followed, in which case the authors have adequately explained why. Some other points are discussed in the author's reply but not in the article's text. It will be up to the curious reader to consult the discussion on the journal website.

I have no further changes to suggest.

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