Quantization and variational problem of the Gubser-Rocha Einstein-Maxwell-Dilaton model, conformal and non-conformal deformations, and its proper thermodynamics

Journal of High Energy Physics, vol. 2023

Abstract

Abstract We show that the strongly coupled field theory holographically dual to the Gubser-Rocha anti-de-Sitter Einstein-Maxwell-Dilaton theory describes not a single non-trivial AdS2 IR fixed point, but a one-parameter family. It is dual to a local quantum critical phase instead of a quantum critical point. This result follows from a detailed analysis of the possible quantizations of the gravitational theory that is consistent with the thermodynamics of the analytical Gubser-Rocha black hole solution. The analytic Gubser-Rocha black hole is only a 2-parameter subset of all possible solutions, and we construct other members numerically. These new numerical solutions correspond to turning on an additional scalar charge. Moreover, each solution has multiple holographic interpretations depending on the quantization chosen. In one particular quantization involving a multitrace deformation the scalar charge is a marginal operator. In other quantizations where the marginal multitrace operator is turned off, the analytic Gubser-Rocha black hole does not describe a finite temperature conformal fluid.

Authors 3

1. Nicolas Chagnet corresponding Aachen Institute-Lorentz for Theoretical Physics

   Leiden University

   Affiliation as printed

   Institute Lorentz for Theoretical Physics, ∆-ITP, Leiden University, Niels Bohrweg 2, Leiden, the Netherlands

2. Floris Balm Aachen Institute-Lorentz for Theoretical Physics

   Leiden University

   Affiliation as printed

   Institute Lorentz for Theoretical Physics, ∆-ITP, Leiden University, Niels Bohrweg 2, Leiden, the Netherlands

3. Koenraad Schalm Aachen Institute-Lorentz for Theoretical Physics

   Leiden University

   Affiliation as printed

   Institute Lorentz for Theoretical Physics, ∆-ITP, Leiden University, Niels Bohrweg 2, Leiden, the Netherlands