String correlators on $\text{AdS}_3$: Analytic structure and dual CFT
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 singu...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SciPost
2022-09-01
|
| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.13.3.053 |
| _version_ | 1811260103504953344 |
|---|---|
| author | Andrea Dei, Lorenz Eberhardt |
| author_facet | Andrea Dei, Lorenz Eberhardt |
| author_sort | Andrea Dei, Lorenz Eberhardt |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T18:42:33Z |
| format | Article |
| id | doaj.art-6fd9a8c6de1c465a965084372a95bb29 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-04-12T18:42:33Z |
| publishDate | 2022-09-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-6fd9a8c6de1c465a965084372a95bb292022-12-22T03:20:44ZengSciPostSciPost Physics2542-46532022-09-0113305310.21468/SciPostPhys.13.3.053String correlators on $\text{AdS}_3$: Analytic structure and dual CFTAndrea Dei, Lorenz EberhardtWe 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.https://scipost.org/SciPostPhys.13.3.053 |
| spellingShingle | Andrea Dei, Lorenz Eberhardt String correlators on $\text{AdS}_3$: Analytic structure and dual CFT SciPost Physics |
| title | String correlators on $\text{AdS}_3$: Analytic structure and dual CFT |
| title_full | String correlators on $\text{AdS}_3$: Analytic structure and dual CFT |
| title_fullStr | String correlators on $\text{AdS}_3$: Analytic structure and dual CFT |
| title_full_unstemmed | String correlators on $\text{AdS}_3$: Analytic structure and dual CFT |
| title_short | String correlators on $\text{AdS}_3$: Analytic structure and dual CFT |
| title_sort | string correlators on text ads 3 analytic structure and dual cft |
| url | https://scipost.org/SciPostPhys.13.3.053 |
| work_keys_str_mv | AT andreadeilorenzeberhardt stringcorrelatorsontextads3analyticstructureanddualcft |