Causal evolutions of bulk local excitations from CFT

2016/05/31 by Kanato Goto, Masamichi Miyaji, Tadashi Takayanagi
Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary value problem #Causality (physics) #Conformal field theory #Conformal map #Excited state #Fermion #Noncommutative and Quantum Gravity Theories #Quantum entanglement #Quantum many-body systems #Scalar (mathematics) #Scalar field #Spacetime #hep-th

paper · pdf · doi:10.1007/jhep09(2016)130

23pages, Latex

openalex created_date 2016/06/24 · arxiv created 2016/07/31 · openalex publication_date 2016/09/01 · arxiv updated 2016/10/12 · openalex updated_date 2026/08/05

Abstract

Bulk localized excited states in an AdS spacetime can be constructed from Ishibashi states with respect to the global conformal symmetry in the dual CFT. We study boundary two point functions of primary operators in the presence of bulk localized excitations in two dimensional CFTs. From two point functions in holographic CFTs, we observe causal propagations of radiations when the mass of dual bulk scalar field is close to the BF bound. This behavior for holographic CFTs is consistent with the locality and causality in classical gravity duals. We also show that this cannot be seen in free fermion CFTs. Moreover, we find that the short distance behavior of two point functions is universal and obeys the relation which generalizes the first law of entanglement entropy.

Citations

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