Localization of four-dimensional super Yang-Mills theories compactified on Riemann surface

作者: Koichi Nagasaki

DOI: 10.1142/S0217751X16501955

关键词: Riemann Xi functionYang–Mills existence and mass gapSigmaRiemann surfacePhysicsMathematical physicsPartition 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.

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