Modular Hamiltonians and large diffeomorphisms in AdS3

Abstract

Abstract We generalize the work of Kabat and Lifshytz ( arXiv:1703.06523 ), of reconstructing bulk scalar fields using the intersecting modular Hamiltonian approach discussed therein, to any locally AdS3 space related to AdS3 by large diffeomorphisms. We present several checks for our result including matching with their result in appropriate limits as well as consistency with bulk diffeomorphisms. As a further check, from our expressions we also compute the first correction due to gravitational dressing to the bulk scalar field in AdS3 and match with known results in the literature.

Keywords

• AdS-CFT Correspondence
• Conformal Field Theory