From Euclidean sources to Lorentzian spacetimes in holographic conformal field theories

• DOI: 10.1007/jhep06(2018)077
• Publication Date: 2018-06-16T03:35:00Z
• Authors: Donald Marolf; Onkar Parrikar; Charles Rabideau; Ali Izadi Rad; Mark Van Raamsdonk
• Keywords: High Energy Physics - Theory; Quantum Physics; hep-th; Molecular; FOS: Physical sciences; Particle and High Energy Physics; QC770-798; AdS-CFT Correspondence; Atomic; Nuclear & Particles Physics; 01 natural sciences; Mathematical Sciences; Gauge-gravity correspondence; Nuclear and plasma physics; Particle and Plasma Physics; High Energy Physics - Theory (hep-th); Particle and high energy physics; Mathematical physics; Nuclear and particle physics. Atomic energy. Radioactivity; Physical Sciences; 0103 physical sciences; Nuclear; Mathematical Physics

A bstract We consider states of holographic conformal field theories constructed by adding sources for local operators in the Euclidean path integral, with aim investigating extent to which arbitrary bulk coherent can be represented such path-integrals CFT. construct associated dual Lorentzian spacetimes perturbatively sources. Extending earlier work, we provide explicit formulae fields first order general scalar and metric perturbations dimensions. check results holographically computing one-point functions sourced comparing a direct CFT calculation. present evidence that at linearized level, initial data profiles generated an appropriate choice However, produce is very localized, amplitude must taken small same time otherwise required diverge, invalidating perturbative approach.