Bulk reconstruction and Bogoliubov transformations in AdS2
Authors: Parijat Dey and Nirmalya Kajuri
Preprint number: UUITP-27/21
Abstract: In the bulk reconstruction program, one constructs boundary representations of bulk fields. However, the boundary representations derived in global and AdS-Rindler coordinates appear to be inequivalent as the AdS-Rindler smearing function is known to diverge in dimensions greater than two. This is an apparent paradox. We investigate the relation between the two representations for AdS2. We obtain the AdS-Rindler smearing function for massive and massless fields and show that the global and AdS-Rindler boundary representations are related by conformal transformations. We also use the boundary representations of creation and annihilation operators to compute the Bogoliubov transformation relating global modes to AdS-Rindler modes for both massive and massless particles.