Bulk reconstruction for spinor fields in AdS/CFT

Autor:	Foit, Valentino F., Kabat, Daniel, Lifschytz, Gilad
Rok vydání:	2019
Předmět:	High Energy Physics - Theory
Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP02(2020)129
Popis:	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. Comment: 31 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1912.00952 Zobrazit plný text záznamu View this record from Arxiv