Dressing bulk spinor fields in AdS${}_3$

Abstract

We continue the program of bulk reconstruction for fermionic fields. We reconstruct, from the CFT, the Dirac fermion field in $Ad{S}_3$ coupled to a Chern-Simon gauge field. We show that the three conditions; solving the equation of motion, satisfying expected transformation under modular flow and a simple charge distribution at infinity are all compatible and all produce the same bulk operator. We also compute the bulk-boundary tree level three point function from the CFT construction.

28 pages, acknowledgements added

References in corpus (6)

• Towards a derivation of holographic entanglement entropy
• Holographic representation of local bulk operators
• Constructing local bulk observables in interacting AdS/CFT
• Chiral anomalies and AdS/CMT in two dimensions
• CFT representation of interacting bulk gauge fields in AdS
• Reconstructing bulk equation of motion using CFT modular Hamiltonians