作者: Koichi Nagasaki
DOI: 10.1142/S0217751X16501955
关键词: Riemann Xi function 、 Yang–Mills existence and mass gap 、 Sigma 、 Riemann surface 、 Physics 、 Mathematical physics 、 Partition function (quantum field theory) 、 Genus (mathematics) 、 Path integral formulation
摘要: We consider the partition function of super Yang-Mills theories defined on $T^2 \times \Sigma_g$. This path integral can be computed by localization. The one-loop determinant is evaluated elliptic genus. genus gives trivial result in our calculation. As a result, we obtain theory Riemann surface.