Symmetries, Holography and Quantum Phase Transition in Two-dimensional Dilaton AdS Gravity

• Main Authors: Cadoni, Mariano, Ciulu, Matteo, Tuveri, Matteo
• Format: Journal Article
• Language: English
• Published: 07-11-2017
• Subjects: Physics - General Relativity and Quantum Cosmology; Physics - High Energy Physics - Theory
• DOI: 10.48550/arxiv.1711.02459

Phys. Rev. D 97, 103527 (2018) We present a revisitation of the Almheiri-Polchinski dilaton gravity model
from a two-dimensional (2D) bulk perspective. We describe a peculiar feature of
the model, namely the pattern of conformal symmetry breaking using bulk Killing
vectors, a covariant definition of mass and the flow between different vacua of
the theory. We show that the effect of the symmetry breaking is both the
generation of an infrared scale (a mass gap) and to make local the Goldstone
modes associated with the asymptotic symmetries of the 2D spacetime. In this
way a non vanishing central charge is generated in the dual conformal theory,
which accounts for the microscopic entropy of the 2D black hole. The use of
covariant mass allows to compare energetically the two different vacua of the
theory and to show that at zero temperature the vacuum with a constant dilaton
is energetically preferred. We also translate in the bulk language several
features of the dual CFT discussed by Maldacena et al. The uplifting of the 2D
model to $(d+2)-$dimensional theories exhibiting hyperscaling violation is
briefly discussed.