Department of Physics, University of Washington, Seattle, Washington 98195-1560, USA.
Phys Rev Lett. 2015 Dec 31;115(26):261601. doi: 10.1103/PhysRevLett.115.261601. Epub 2015 Dec 22.
We put AdS/CFT dualities involving probe branes to a precision test. On the holographic side we use a new class of supersymmetric D7-brane embeddings into AdS(5)×S(5), which allow us to describe N=4 super Yang-Mills theory coupled to massive N=2 supersymmetric flavors on S(4). With these embeddings we can compare holographic results to a field theory analysis of the free energy using supersymmetric localization. Localization allows us to get results at strong coupling, and hence to compare in detail to AdS/CFT. We find analytically matching results: a phase transition at the same critical mass in both calculations and matching free energies up to a scheme-dependent constant in both phases.
我们对涉及探针 brane 的 AdS/CFT 对偶进行了精确测试。在全息方面，我们使用了一类新的超对称 D7 brane 嵌入到 AdS(5)×S(5)，这使我们能够描述 N=4 超杨-米尔斯理论与 S(4)上的大量 N=2 超对称口味耦合。通过这些嵌入，我们可以将全息结果与使用超对称定域化的自由能的场论分析进行比较。定域化允许我们在强耦合下得到结果，因此可以详细比较 AdS/CFT。我们发现了分析匹配的结果：在两种计算中在相同的临界质量处发生相变，并且在两种相中匹配自由能到一个依赖于方案的常数。
