Type 0A matrix model of a black hole, integrability, and holography
Type 0A matrix model of a black hole, integrability, and holography
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黑洞的 0A 型矩阵模型、可积性和全息术
DOI：
10.1103/physrevd.71.086002
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发表时间：
2004
影响因子：
5
通讯作者：
T. Suyama
中科院分区：
文献类型：
--
作者：
Jaemo Park;T. Suyama
在Kazakov等人提出的玻色子模型的基础上，研究了二维超对称Witten黑洞的a型理论的变形矩阵模型。我们找到了矩阵模型配分函数的一个自由场实现，该配分函数在0A型理论中包含了Ramond-Ramond摄动。在一个简单的情况下，配分函数被分解成两个行列式，这两个行列式由可积系统的{tau}函数给出。我们算出配分函数的格展开式。用威尔逊线计算检验了与超对称威腾黑洞的全息关系。矩阵模型对应的配分函数表现出奇异性，这被解释为增强的N=2世界表超对称点。本文发现了形褶Z{sub 2}上的变形矩阵模型与拓扑弦之间的一种有趣的关系。
We investigate a deformed matrix model of type 0A theory related to supersymmetric Witten's black hole in two-dimensions, a generalization of bosonic model suggested by Kazakov et al. We find a free field realization of the partition function of the matrix model, which includes Ramond-Ramond perturbations in the type 0A theory. In a simple case, the partition function is factorized into two determinants, which are given by {tau} function of an integrable system. We work out the genus expansion of the partition function. Holographic relation with the supersymmetric Witten's black hole is checked by Wilson line computation. The corresponding partition function of the matrix model exhibits a singular behavior, which is interpreted as the point of enhanced N=2 world sheet supersymmetry. An interesting relation between the deformed matrix model and topological string on a Z{sub 2} orbifold of conifold is found.