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Dressing bulk spinor fields in AdS{}₃

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arxiv 2210.16845 v2 pith:ECUOL5NB submitted 2022-10-30 hep-th

Dressing bulk spinor fields in AdS{}₃

classification hep-th
keywords bulkfieldfieldsthreebulk-boundarychargechern-simoncompatible
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We continue the program of bulk reconstruction for fermionic fields. We reconstruct, from the CFT, the Dirac fermion field in $AdS_{3}$ 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.

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