Integrability and matrix models
Integrability and matrix models
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DOI：
10.1070/pu1994v037n01abeh000001
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发表时间：
1993-03
期刊：
影响因子：
2.7
通讯作者：
A. Morozov
中科院分区：
文献类型：
--
作者：
A. Morozov
从矩阵模型与可积族的关系出发，对矩阵模型理论进行了评述。离散1-矩阵，2-矩阵，“共形”（多组分）和Kontsevich模型被认为是在一些细节，与沃德身份（“W-约束”），行列式公式和连续极限，采取一种模型到另一种。最后对今后的研究方向进行了展望。
The theory of matrix models is reviewed from the point of view of its relation to integrable hierarchies. Discrete 1-matrix, 2-matrix, 'conformal' (multicomponent) and Kontsevich models are considered in some detail, together with the Ward identites ('W-constraints'), determinantal formulas and continuum limits, taking one kind of model into another. Subtle points and directions of the future research are also discussed.