Bulk reconstruction for spinor fields in AdS/CFT

Valentino F. Foit, Daniel Kabat, Gilad Lifschytz

Research output: Contribution to journalArticlepeer-review


We develop the representation of free spinor fields in the bulk of Lorentzian anti-de Sitter space in terms of smeared operators in the dual conformal field theory. To do this we expand the bulk field in a complete set of normalizable modes, work out the extrapolate dictionary for spinor fields, and show that the bulk field can be reconstructed from its near-boundary behavior. In some cases chirality and reality conditions can be imposed in the bulk. We study the action of the CFT modular Hamiltonian on bulk fermions to show that they transform with the expected spinor Lie derivative, and we calculate bulk-boundary two-point functions starting from CFT correlators.

Original languageEnglish
Article number129
JournalJournal of High Energy Physics
Issue number2
StatePublished - 1 Feb 2020

Bibliographical note

Publisher Copyright:
© 2020, The Author(s).


  • AdS-CFT Correspondence
  • Models of Quantum Gravity

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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