Boundary operators in minimal Liouville gravity and matrix models
Boundary operators in minimal Liouville gravity and matrix models
复制标题
最小刘维尔引力和矩阵模型中的边界算子
DOI：
10.1007/jhep12(2010)046
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发表时间：
2010
影响因子：
5.4
通讯作者：
C. Rim
中科院分区：
文献类型：
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作者：
Jean;Goro Ishiki;C. Rim
我们将两位作者最近构建的单矩阵模型（1MM）的矩阵边界解释为FZZT膜之间关系的结果。在双标度极限下，1MM由（2,2p + 1）最小刘维尔重力描述。这些矩阵算符被用来创建一个具有卡迪态给出的物质边界条件的边界。我们还证明了具有两个不同边界的矩阵盘相关器之间的递推关系。将该构造推广到双矩阵模型，并与Liouville边界两点函数进行了比较。此外，还讨论了FZZT膜间几种对称性在矩阵模型内的实现。
We interpret the matrix boundaries of the one matrix model (1MM) recently constructed by two of the authors as an outcome of a relation among FZZT branes. In the double scaling limit, the 1MM is described by the (2, 2p+ 1) minimal Liouville gravity. These matrix operators are shown to create a boundary with matter boundary conditions given by the Cardy states. We also demonstrate a recursion relation among the matrix disc correlator with two different boundaries. This construction is then extended to the two matrix model and the disc correlator with two boundaries is compared with the Liouville boundary two point functions. In addition, the realization within the matrix model of several symmetries among FZZT branes is discussed.
动态晶格上 O(n) 模型的边界跃迁
DOI：
--
发表时间：
2010
期刊：
Nuclear Physics B 832
影响因子：
--
作者：
Jean-Emile Bourgine;Kazuo Hosomichi;Ivan Kostov
通讯作者：
Ivan Kostov