Global KdV flows and stable 2D quantum gravity
Global KdV flows and stable 2D quantum gravity
复制标题
全局 KdV 流和稳定的二维量子引力
DOI：
10.1016/0370-2693(92)90112-h
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
A. Watterstam
中科院分区：
文献类型：
--
作者：
Clifford V.Johnson;T. Morris;A. Watterstam
研究了耦合于（2m−1,2）模型的非摄动稳定二维量子引力[P]， Q] = Q公式的弦方程。适当解之间的全局KdV流被认为是两个相容线性问题的变形。证明了这种流动存在的必要条件是满足的。数值研究揭示了纯重力（m=2）、Lee-Yang边缘模型（m=3）和拓扑重力（m=1）的无极解之间的流动。我们推测所有的m临界模型都是如此。由于m=1解是唯一的，这些全局流为每个m临界模型定义了一个唯一的解。
The string equation for the [ P ̃ , Q] = Q formulation of non-perturbatively stable 2D quantum gravity coupled to the (2m−1, 2) models is studied. Global KdV flows between the appropriate solutions are considered as deformations of two compatible linear problems. It is demonstrated that the necessary conditions for such flows to exist are satisfied. A numerical study reveals such flows between the pole-free solutions of pure gravity (m=2), the Lee-Yang edge model (m=3) and topological gravity (m=1). We conjecture that this is the case for all of the m-critical models. As the m=1 solution is unique these global flows define a unique solution for each m-critical model.
影响因子：
4
作者：
JIMBO, M;MIWA, T;UENO, K
通讯作者：
UENO, K