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arXiv · 2210.16845

Dressing bulk spinor fields in AdS${}_3$

Gilad Lifschytz·Milan Patra
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Abstract

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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Gilad Lifschytz, Milan Patra. 2022-10-30. Dressing bulk spinor fields in AdS${}_3$. https://doi.org/10.1007/jhep03(2023)245

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