More on topological vertex formalism for 5-brane webs with O5-plane
More on topological vertex formalism for 5-brane webs with O5-plane
复制标题
DOI：
10.1007/jhep04(2021)292
复制
发表时间：
2021-04
影响因子：
5.4
通讯作者：
Hirotaka Hayashi;Rui-Dong Zhu
中科院分区：
文献类型：
--
作者：
Hirotaka Hayashi;Rui-Dong Zhu
作为[1]工作的推广，我们提出了一种具体形式的顶点函数，我们称之为O-顶点，用于拓扑顶点形式中O5平面和5-膜的交点。利用O-顶点，可以计算在任何具有O5平面的5-膜网状图上实现的5维理论的Nekrasov配分函数。我们将我们的建议应用于具有O5平面的五膜网，并计算了纯SO(N)规范理论和纯G2规范理论的配分函数。所得结果与文献中已知的结果相吻合。我们还计算了9级纯SU(3)规范理论的配分函数。最后，我们用顶点算符的形式重写了O-顶点。
We propose a concrete form of a vertex function, which we call O-vertex, for the intersection between an O5-plane and a 5-brane in the topological vertex formalism, as an extension of the work of [1]. Using the O-vertex it is possible to compute the Nekrasov partition functions of 5d theories realized on any 5-brane web diagrams with O5-planes. We apply our proposal to 5-brane webs with an O5-plane and compute the partition functions of pure SO (N) gauge theories and the pure G 2 gauge theory. The obtained results agree with the results known in the literature. We also compute the partition function of the pure SU (3) gauge theory with the Chern-Simons level 9. At the end we rewrite the O-vertex in a form of a vertex operator.