Journal of High Energy Physics (Feb 2020)

Bulk reconstruction for spinor fields in AdS/CFT

  • Valentino F. Foit,
  • Daniel Kabat,
  • Gilad Lifschytz

DOI
https://doi.org/10.1007/JHEP02(2020)129
Journal volume & issue
Vol. 2020, no. 2
pp. 1 – 29

Abstract

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Abstract 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.

Keywords