Penner type matrix model and Seiberg-Witten theory
Penner type matrix model and Seiberg-Witten theory
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DOI：
10.1007/jhep02(2010)022
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发表时间：
2009-11
影响因子：
5.4
通讯作者：
T. Eguchi;K. Maruyoshi
中科院分区：
文献类型：
--
作者：
T. Eguchi;K. Maruyoshi
本文讨论了Dijkgraaf和Vafa最近提出的Penner型矩阵模型，利用矩阵模型与二维CFT的联系，对四维规范理论与Liouville理论之间的关系作了可能的解释。我们首先考虑Nf = 4，= 2的超对称规范理论中定义在UV和IR区域的规范耦合关系为qUV = λ 2（qIR）4/λ 3（qIR）4.然后利用这个关系讨论了模变换对矩阵模型的作用，并确定了它的谱曲线。
We discuss the Penner type matrix model recently proposed by Dijkgraaf and Vafa for a possible explanation of the relation between four-dimensional gauge theory and Liouville theory by making use of the connection of the matrix model to two-dimensional CFT. We first consider the relation of gauge couplings defined in UV and IR regimes of N f= 4,= 2 supersymmetric gauge theory being related as q UV= ϑ 2 (q IR) 4/ϑ 3 (q IR) 4. We then use this relation to discuss the action of modular transformation on the matrix model and determine its spectral curve.