Genus two correlation functions in CFTs with T■ deformation

作者:Song He*; Yun-Ze Li
来源:Science China Physics,Mechanics & Astronomy, 2023, 66(05): 110-123.

摘要

Since the definition of T■ 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 T■ 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 frst-order T■ correction to the genus two correlation functions in the T■ deformed CFTs, e.g., partition function and one/higher-point correlation functions.