تقرير
String correlators on $\text{AdS}_3$: Analytic structure and dual CFT
| العنوان: | String correlators on $\text{AdS}_3$: Analytic structure and dual CFT |
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| المؤلفون: | Dei, Andrea, Eberhardt, Lorenz |
| المصدر: | SciPost Phys. 13, 053 (2022) |
| سنة النشر: | 2022 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | 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. Comment: 33 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.21468/SciPostPhys.13.3.053 |
| URL الوصول: | http://arxiv.org/abs/2203.13264 |
| رقم الأكسشن: | edsarx.2203.13264 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.21468/SciPostPhys.13.3.053 |
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