Correlation functions in Schwarzian liquid

For valuable discussions, we thank Gleb Arutyunov, Roberto Emparan, Ara Go, Sunly Khimphun, Ki-Seok Kim, Bum-Hoon Lee, Yue-Zhou Li, Andrew Lucas, Zhan-Feng Mai, Eun-Gook Moon, Ioannis Papadimitriou, Varun Sethi, Run-Qiu Yang, Hossein Yavartanoo, Junggi Yoon, Kentaroh Yoshida, and Yun-Long Zhang. This work is supported by the Mid-career Researcher Program through the National Research Foundation (NRF) of Korea under Grant No. NRF-2016R1A2B3007687. Y. S. is supported by the Basic Science Research Program through NRF under Grant No. NRF-2016R1D1A1B03931443. For the hospitality, we also would like to thank APCTP focus workshop program "Geometry and Holography of Quantum Critical Point" during the visit at the POSTECH, Pohang. The authors thank the Yukawa Institute for Theoretical Physics at Kyoto University. Discussions during the workshop YITP-T-18-04 "New Frontiers in String Theory" were useful in completing this work.