Topological confinement in Skyrme holography. (7th July 2022)

• Record Type: Journal Article
• Authors: Cartwright, Casey; Harms, Benjamin; Kaminski, Matthias; Thomale, Ronny
• Is Part Of: Classical and quantum gravity. Volume 39:Number 13(2022)
• Publication Date: 2022-07-07
• Subjects: topological -- confinements -- Skyrme -- holography -- Skyrmion -- black holes; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/ac6c73
• Languages: English
• ISSNs: 0264-9381

Abstract

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 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.