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 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