When Nekrasov partition function meets orientifold 5-plane in the thermodynamic limit
李晓斌
西南交通大学
地点：四川大学望江校区国家天元数学西南中心516报告厅
上课时间：2021年12月16日，下午 15:00-17:00
课程简介：
In this talk, I will discuss new dualities appearing in 5d N = 1 Sp(N) gauge theory with N_f (≤ 2N + 3) flavors based on 5-brane web diagram with O5-plane. On the one hand, I will introduce Seiberg-Witten curve based on the dual graph of the 5-brane web with O5-plane. On the other hand, I will briefly explain the computations about the Nekrasov partition function based on the topological vertex formalism with O5-plane. Rewriting it in terms of profile functions, we obtain the saddle point equation for the profile function after taking thermodynamic limit. By introducing the resolvent, the corresponding Seiberg-Witten curve and boundary conditions are derived and the relations with the prepotential in terms of the cycle integrals are discussed. They coincide with those directly obtained from the dual graph of the 5-brane web with O5-plane. This agreement gives further evidence for mirror symmetry which relates Nekrasov partition function with Seiberg-Witten curve in the case with orientifold plane and shed light on the non-toric Calabi-Yau 3-folds including D-type singularities. This is joint work with Futoshi Yagi.
