Localized AdS_{5}×S^{5} Black Holes.
Localized AdS_{5}×S^{5} Black Holes.
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本地化的 AdS_{5}×S^{5} 黑洞。
DOI：
10.1103/physrevlett.117.151101
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发表时间：
2016
影响因子：
8.6
通讯作者：
Benson Way
中科院分区：
文献类型：
--
作者：
Ó. J. Dias;Jorge E Santos;Benson Way
根据启发式论证，整体ADS_{5}×S^{5}黑洞有望在微正则系综中经历相变。在高能时，人们期望黑洞尊重S^{5}的对称性；在低能时，人们期望在S^{5}上出现点状的“局域”黑洞。根据反de Sitter/共形场论对应，三球面上N=4的超对称Yang-Mills(SYM)理论应在强耦合下表现出自发的R对称破缺。在这封信中，我们用数值方法构造了这些局域黑洞。我们外推了这一相变的位置，并计算了具有最低共形维的破缺标量算子的期望值。通过这些对应关系，这些结果为N=4 SYM理论提供了定量的预测。
According to heuristic arguments, global AdS_{5}×S^{5} black holes are expected to undergo a phase transition in the microcanonical ensemble. At high energies, one expects black holes that respect the symmetries of the S^{5}; at low energies, one expects "localized" black holes that appear pointlike on the S^{5}. According to anti-de Sitter/conformal field theory correspondence, N=4 supersymmetric Yang-Mills (SYM) theory on a 3-sphere should therefore exhibit spontaneous R-symmetry breaking at strong coupling. In this Letter, we numerically construct these localized black holes. We extrapolate the location of this phase transition, and compute the expectation value of the broken scalar operator with lowest conformal dimension. Via the correspondence, these results offer quantitative predictions for N=4 SYM theory.