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.

arXiv comment28 pages, acknowledgements added

References in corpus (17)

• Towards a derivation of holographic entanglement entropy
• Relative entropy equals bulk relative entropy
• Holographic representation of local bulk operators
• Spinors and the AdS/CFT correspondence
• Conformal Field Theory Correlators from Classical Field Theory on Anti-de Sitter Space II. Vector and Spinor Fields
• Bulk locality from modular flow
• Constructing local bulk observables in interacting AdS/CFT
• Entanglement, Holography and Causal Diamonds
• Decoding the hologram: Scalar fields interacting with gravity
• Chiral anomalies and AdS/CMT in two dimensions
• CFT representation of interacting bulk gauge fields in AdS
• An Exact Operator That Knows Its Location
• Local bulk physics from intersecting modular Hamiltonians
• Bulk reconstruction for spinor fields in AdS/CFT
• Does boundary quantum mechanics imply quantum mechanics in the bulk?
• Dressing bulk fields in AdS${}_3$
• Reconstructing bulk equation of motion using CFT modular Hamiltonians