Bulk reconstruction of gauge fields in rindler coordinates

Abstract

In the AdS/CFT correspondence, we try to answer questions about bulk physics by reconstructing bulk fields in terms of boundary CFT operators. We develop the representation of spin one bulk gauge fields in anti de-Sitter space in Rindler lightcone coordinates, as non-local observables in the dual CFT. After studying the bulk reconstruction of scalar fields in Rindler co ordinates, we employ a similar method to obtain the bulk reconstruction of spin one gauge fields in Rindler coordinates. Finally, we use these re sults to obtain the representation of bulk Wilson lines extending from one boundary of the Rindler patch to the other in terms of the CFT spin one currents on both the boundaries. We also find the bulk reconstruction for scalar fields in Rindler coordinates whose boundary counterpart (scalar conformal primary) has conformal dimension.