Genus two correlation functions in CFTs with TT deformation  

作　　者：Song He Yun-Ze Li 

机构地区：[1]Center for Theoretical Physics and College of Physics,Jilin University,Changchun 130012,China [2]Max Planck Institute for Gravitational Physics(Albert Einstein Institute),Am Mühlenberg 1,14476 Golm,Germany

出　　处：《Science China(Physics,Mechanics & Astronomy)》2023年第5期106-119,共14页中国科学：物理学、力学、天文学（英文版）

基　　金：the financial support from the Jilin University,Max Planck Partner Group,and National Natural Science Foundation of China(Grant Nos.12075101,and 12047569).

摘　　要：Since the definition of TT deformation in the curved Riemann surface is obstructive in the literature,we propose a way to do the deformation in the genus two Riemann surfaces by sewing prescription.We construct the correlation functions of conformal field theories(CFTs)on genus two Riemann surfaces with the TT deformation in terms of the perturbative CFT approach.Thanks to sewing construction to form higher genus Riemann surfaces from lower genus ones and conformal symmetry,we systematically obtain the first-order TT correction to the genus two correlation functions in the TT deformed CFTs,e.g.,partition function and one/higher-point correlation functions.

关 键 词：conformal field theory gauge/gravity duality TT deformation higher genus correlation function 

分 类 号：O413[理学—理论物理]