论文标题
在评估Argyres-Douglas理论的Nekrasov分区功能上
On the Nekrasov Partition Function of Gauged Argyres-Douglas Theories
论文作者
论文摘要
我们研究$ su（2）$量表理论，耦合到有或没有基本超强的$（a_1，d_n）$理论。对于即使是$ n $，我们最近通过Y.〜Sugawara和T.〜Uetoko获得了$（A_1，D_N）$ $（A_1，D_N）$的公式。在本文中，我们将其推广到经典限制中的奇数$ n $的情况下，条件是$（a_1，d_n）$的库仑分支运营商的相关耦合和真空期望值全部关闭。我们将我们的公式应用于$（A_2，A_5）$理论，以发现其预势与$ su（2）$量规理论相关，并通过简单的变量更改，具有四种基本口味。
We study $SU(2)$ gauge theories coupled to $(A_1,D_N)$ theories with or without a fundamental hypermultiplet. For even $N$, a formula for the contribution of $(A_1,D_N)$ to the Nekrasov partition function was recently obtained by us with Y.~Sugawara and T.~Uetoko. In this paper, we generalize it to the case of odd $N$ in the classical limit, under the condition that the relevant couplings and vacuum expectation values of Coulomb branch operators of $(A_1,D_N)$ are all turned off. We apply our formula to the $(A_2,A_5)$ theory to find that its prepotential is related to that of the $SU(2)$ gauge theory with four fundamental flavors by a simple change of variables.
