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arXiv 2201.00105hep-thcond-mat.str-elhep-phnucl-th
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Skyrme全息中的拓扑限制

Topological confinement in Skyrme holography

Casey Cartwright, Benjamin Harms, Matthias Kaminski, Ronny Thomale

摘要:

研究了具有负宇宙学常数的五维爱因斯坦引力场与Skyrme物质场耦合的相变。这些跃迁是热Anti de Sitter(AdS)时空和AdS黑洞之间Hawking-Page跃迁的拓扑推广。相的特征在于与Skyrme场配置相关联的拓扑数。根据拓扑数和Skyrme耦合强度,在两个、一个或没有温度值的情况下,这些相之间发生转变。通过全息(AdS/CFT)对应,这些解是SU(2)对称的共形场论(CFT)中拓扑非平凡态的对偶,它支持强耦合的受限或去受限(准)粒子。我们将其与类似的已知相变进行比较,并讨论其在凝聚态物质和夸克-胶子等离子体的拓扑相限制中的潜在应用。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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