Topological confinement in Skyrme holography

Cartwright, Casey; Harms, Benjamin; Kaminski, Matthias; Thomale, Ronny

doi:10.1088/1361-6382/ac6c73

Topological confinement in Skyrme holography

Journal Article · 31 May 2022 · Classical and Quantum Gravity

DOI:https://doi.org/10.1088/1361-6382/ac6c73· OSTI ID:1979256

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OSTI

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 anSU(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.

Research Organization:: Univ. of Alabama, Tuscaloosa, AL (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0012447

OSTI ID:: 1979256

Journal Information:: Classical and Quantum Gravity, Journal Name: Classical and Quantum Gravity Journal Issue: 13 Vol. 39; ISSN 0264-9381

Publisher:: IOP Publishing

Country of Publication:: United States

Language:: English

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