Topological confinement in Skyrme holography

Abstract

We study phase transitions in five-dimensional Einstein Gravity with a negative cosmological constant, coupled to a Skyrme matter field. These transitions are topological generalizations of the Hawking-Page transition between thermal Anti de Sitter (AdS) spacetime and an AdS black hole. Phases are characterized by a topological number associated with the Skyrme field configuration. Depending on that topological number and on the Skyrme coupling strength, there occur transitions between those phases at two, one, or no value(s) of the temperature. Through the holographic (AdS/CFT) correspondence, these solutions are dual to topologically non-trivial states in a conformal field theory (CFT) with an SU(2)-symmetry, which support either confined or deconfined (quasi-)particles at strong coupling. We compare to similar known phase transitions, and discuss potential applications to confinement in topological phases of condensed matter and the quark-gluon plasma.

21 pages, 8 figures, new title, additional author

References in corpus (9)

• "Deconfined" quantum critical points
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Joule-Thomson Expansion of Charged AdS Black Holes
• Hedgehog ansatz and its generalization for self-gravitating Skyrmions
• Is the Chiral Magnetic Effect fast enough?
• Energy dependence of the chiral magnetic effect in expanding holographic plasma
• Ground State Properties of Antiferromagnetic Chains with Unrestricted Spin: Integer Spin Chains as Realisations of the O(3) Non-Linear Sigma Model
• Topological order and the deconfinement transition in the (2+1) dimensional compact Abelian Higgs model

Cited by in corpus (2)

• Euclidean AdS wormholes and gravitational instantons in the Einstein-Skyrme theory
• Topologically Stable BPS and Non-BPS States in Supersymmetric $\mathcal{N}=2$ Baby-Skyrme Model