JHEP03(2014)116 Published for SISSA by Springer Received: January 18, 2014 Accepted: February 28, 2014 Published: March 26, 2014 Free boundary conditions and the AdS 3 /CFT 2 correspondence Luis Apolo and Massimo Porrati Center for Cosmology and Particle Physics, Department of Physics, New York University, 4 Washington Place, New York, NY 10003, U.S.A. E-mail: lav271@nyu.edu, massimo.porrati@nyu.edu Abstract: We show that recently proposed free boundary conditions for AdS 3 are dual to two-dimensional quantum gravity in certain fixed gauges. In particular, we note that an appropriate identification of the generator of Virasoro transformations leads to a van- ishing total central charge in agreement with the theory at the boundary. We argue that this identification is necessary to match the bulk and boundary generators of Virasoro transformations and for consistency with the constraint equations. Keywords: AdS-CFT Correspondence, 2D Gravity ArXiv ePrint: 1401.1197 Open Access,c  The Authors. Article funded by SCOAP 3 . doi:10.1007/JHEP03(2014)116