Holographic stress tensor correlators on higher genus Riemann surfaces

Autor:	He, Song, Li, Yun-Ze, Xie, Yunfei
Rok vydání:	2024
Předmět:	High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	In this work, we present a comprehensive study of holographic stress tensor correlators on general Riemann surfaces, extending beyond the previously well-studied torus cases to explore higher genus conformal field theories (CFTs) within the framework of the Anti-de Sitter/conformal field theory (AdS/CFT) correspondence. We develop a methodological approach to compute holographic stress tensor correlators, employing the Schottky uniformization technique to address the handlebody solutions for higher genus Riemann surfaces. Through rigorous calculations, we derive four-point stress tensor correlators, alongside recurrence relations for higher-point correlators, within the $\mathrm{AdS}_3/\mathrm{CFT}_2$ context. Additionally, our research delves into the holography of cutoff $\mathrm{AdS}_3$ spaces, offering novel insights into the lower-point correlators of the $T\bar{T}$-deformed theories on higher genus Riemann surfaces up to the first deformation order. Comment: 37 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.04042 Zobrazit plný text záznamu View this record from Arxiv