Causal evolutions of bulk local excitations from CFT

• Published in: The journal of high energy physics Vol. 2016; no. 9; pp. 1 - 22
• Main Authors: Goto, Kanato, Miyaji, Masamichi, Takayanagi, Tadashi
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-09-2016; Springer Nature B.V
• Subjects: Boundaries; Classical and Quantum Gravitation; Elementary Particles; Entropy; Evolution; Fermions; Gravitation; High energy physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Scalars; String Theory; Symmetry; Two dimensional; AdS-CFT Correspondence; Gauge-gravity correspondence
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP09(2016)130

A
bstract
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.