English

Dressing bulk spinor fields in AdS${}_3$

High Energy Physics - Theory 2023-04-19 v2

Abstract

We continue the program of bulk reconstruction for fermionic fields. We reconstruct, from the CFT, the Dirac fermion field in AdS3AdS_{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.

Keywords

Cite

@article{arxiv.2210.16845,
  title  = {Dressing bulk spinor fields in AdS${}_3$},
  author = {Gilad Lifschytz and Milan Patra},
  journal= {arXiv preprint arXiv:2210.16845},
  year   = {2023}
}

Comments

28 pages, acknowledgements added

R2 v1 2026-06-28T04:47:39.746Z