论文标题
Skyrme全息图中的拓扑限制
Topological confinement in Skyrme holography
论文作者
论文摘要
我们研究五维爱因斯坦重力的相变，其负宇宙常数为负，并耦合到Skyrme物质领域。这些过渡是热抗De Sitter（ADS）时空与广告黑洞之间霍金页过渡的拓扑概括。阶段的特征是与Skyrme场配置相关的拓扑编号。根据该拓扑数和天际耦合强度，这些阶段在两个，一个或没有温度的值之间发生过渡。通过全息图（ADS/CFT）对应关系，这些溶液在具有SU（2） - 对称性的保形场理论（CFT）中对拓扑性非平地态是双重的，该溶液在强耦合处支撑限制或解除（Quasi-）颗粒。我们与类似的已知相变点进行了比较，并讨论了在凝结物质和夸克 - 杜松等离子体的拓扑阶段限制的潜在应用。
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.
