单圈自由矩阵CFT全息图的研究
Exploring Free Matrix CFT Holographies at One-Loop
摘要：
我们最近的研究扩展到其他矩阵模型，即自由$SO(N)$和$Sp(N)$伴随模型，以及自由$U(N)\times U(M)$双基本和$O(N)\times O(M)$双矢量模型之间的二元性stringy更高的自旋理论和自由CFTs的$SU(N)$伴随表示。在用Polya计数法确定了平面极限下的理论谱后，我们用我们最近引进的CIRZ方法计算了它们各自的体模的单圈真空能和Casimir能。我们还阐述了这种方法的应用中可能存在的歧义。
英文摘要：
We extend our recent study on the duality between stringy higher spin theories and free CFTs in the $SU(N)$ adjoint representation to other matrix models namely the free $SO(N)$ and $Sp(N)$ adjoint models as well as the free $U(N)\times U(M)$ bi-fundamental and $O(N)\times O(M)$ bi-vector models. After determining the spectrum of the theories in the planar limit by Polya counting, we compute the one loop vacuum energy and Casimir energy for their respective bulk duals by means of the CIRZ method that we have introduced recently. We also elaborate on possible ambiguities in the application of this method.
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