Nekrasov and Argyres–Douglas theories in spherical Hecke algebra representation
Nekrasov and Argyres–Douglas theories in spherical Hecke algebra representation
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球赫克代数表示中的 Nekrasov 和 Argyres-Douglas 理论
DOI：
10.1016/j.nuclphysb.2017.03.012
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Hong Zhang
中科院分区：
文献类型：
--
作者：
C. Rim;Hong Zhang
AGT猜想将四维Liouville规范理论的Nekrasov瞬子配分函数与二维Liouville共形块联系起来。我们重新调查这种连接使用球面Hecke代数的中心扩展在q坐标表示，q是瞬子展开参数。基于AFLT基和纠缠子构造了规范共形态，并证明了它与Liouville共形态的等价性，同时注意到了态的标度行为.利用正则态的碰撞极限，我们得到了对应于Argyres-Douglas理论的非正则共形态的形式表达式，它涉及到Young图上的函数求和。
AGT conjecture connects Nekrasov instanton partition function of 4D quiver gauge theory with 2D Liouville conformal blocks. We re-investigate this connection using the central extension of spherical Hecke algebra inq-coordinate representation, q being the instanton expansion parameter. Based on AFLT basis together with intertwiners we construct gauge conformal state and demonstrate its equivalence to the Liouville conformal state, with careful attention to the proper scaling behavior of the state. Using the colliding limit of regular states, we obtain the formal expression of irregular conformal states corresponding to Argyres–Douglas theory, which involves summation of functions over Young diagrams.