Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor
Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor
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陈-西蒙斯物质理论中来自大 N 轨道等价的对偶性
DOI：
10.1103/physrevd.88.065027
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
藤田充俊
中科院分区：
文献类型：
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作者：
H. Chang;M. Fujita;M. Kaminski;藤田充俊
我们研究了涉及三维超对称陈-西蒙斯物质理论的大轨道等价性。Chern-Simons物质理论的引力对偶是由描述的，其中的三-Sasaki流形被称为Schenburg空间。我们发现证据表明，这种情况的大轨道等价性从理论极限持续到弱耦合极限。在这种情况下，我们发现了涉及改变规范群节点的投影的一致的大等价性，并且对于改变Chern-Simons能级的投影，Bogomol'nyi Prasad-Sommerfield算子在大等价性中表现为预期的行为。对于这两种情况，我们表明，使用重力对偶，限制/解除限制过渡的临界温度不会改变，熵的行为如下：<?format ?>根据Orbifold等价性预期。我们表明，大轨道等价变化<?format ?> Chern-Simons能级可以用镜像对偶中的平面等价来解释。
We study large-orbifold equivalences involving three-dimensionalandsupersymmetric quiver Chern-Simons-matter theories. The gravity dual of theChern-Simons-matter theory is described by, where the tri-Sasaki manifoldis known as the Eschenburg space. We find evidence that a large-orbifold equivalence for thecase continues from the-theory limit to the weak coupling limit. For thecase, we find consistent large-equivalences involving a projection changing the nodes of the gauge groups, and also for a projection changing Chern-Simons levels where for the latter projection, the Bogomol’nyi Prasad-Sommerfield monopole operators behave as expected in large-equivalence. For both cases we show, using the gravity dual, that the critical temperature of the confinement/deconfinement transition does not change and the entropy behaves as <?format ?>expected under the orbifold equivalence. We show that large-orbifold equivalence changing <?format ?>Chern-Simons levels can be explained using the planar equivalence in the mirror dual.