Explicit examples of DIM constraints for network matrix models
Explicit examples of DIM constraints for network matrix models
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DOI：
10.1007/jhep07(2016)103
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发表时间：
2016-04
影响因子：
5.4
通讯作者：
H. Awata;H. Kanno;Takuya Matsumoto;A. Mironov;A. Morozov;A. Morozov;Y. Ohkubo;Y. Zenkevich
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文献类型：
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作者：
H. Awata;H. Kanno;Takuya Matsumoto;A. Mironov;A. Morozov;A. Morozov;Y. Ohkubo;Y. Zenkevich
Dotsenko-Fateev和Chern-Simons矩阵模型描述了SYM理论在不同维度上的Nekrasov函数，它们都被合并到具有隐Ding-Iohara-三木（DIM）对称性的网络矩阵模型中.对于我们所说的平衡网络来说，这种提升尤其简单。然后，沃德恒等式（以Virasoro/-约束或循环方程或qq-字符的正则性条件的名称已知）也被提升到DIM级别，在那里它们都成为单个恒等式的推论。
Dotsenko-Fateev and Chern-Simons matrix models, which describe Nekrasov functions for SYM theories in different dimensions, are all incorporated into network matrix models with the hidden Ding-Iohara-Miki (DIM) symmetry. This lifting is especially simple for what we call balanced networks. Then, the Ward identities (known under the names of Virasoro/-constraints or loop equations or regularity condition for qq-characters) are also promoted to the DIM level, where they all become corollaries of a single identity.