Holographic torus correlators in AdS3 gravity coupled to scalar field
Song He, Yunze Li, Yunda Zhang
Abstract
A bstract This paper investigates holographic torus correlators of generic operators at conformal infinity and a finite cutoff within AdS 3 gravity coupled with a free scalar field. Using a near-boundary analysis and solving the gravitational boundary value problem, we solve Einstein’s equation and calculate mixed correlators for massless and massive coupled scalar fields. The conformal Ward identity on the torus has been reproduced holographically, which can be regarded as a consistency check. Further, recurrence relations for a specific class of higher-point correlators are derived, validating AdS 3 /CFT 2 with non-trivial boundary topology. While the two-point scalar correlator is accurately computed on the thermal AdS 3 saddle, the higher-point correlators associated with scalar and stress tensor operators are explored.