In N = 2 super Yang-Mills theory, the Matone＇s relation relates instanton corrections of the prepotential to instanton corrections of scMar field condensation （Trφ2）. This relation has been proved to hold for Omeg...In N = 2 super Yang-Mills theory, the Matone＇s relation relates instanton corrections of the prepotential to instanton corrections of scMar field condensation （Trφ2）. This relation has been proved to hold for Omega deformed theories too, using localization method. In this paper, we first give a case study supporting the relation, which does not rely on the localization technique. Especially, we show that the magnetic expansion also satisfies a relation of Matone＇s type. Then we discuss implication of the relation for proposed Nekrasov-Shatashvili scheme. the spectrum of periodic Toda chain, in the context of recentlyproposed Nekrasov-Shatashvili scheme.展开更多
基金Supported by the Natural Science Foundation of China under Grant No.11031005
文摘In N = 2 super Yang-Mills theory, the Matone＇s relation relates instanton corrections of the prepotential to instanton corrections of scMar field condensation （Trφ2）. This relation has been proved to hold for Omega deformed theories too, using localization method. In this paper, we first give a case study supporting the relation, which does not rely on the localization technique. Especially, we show that the magnetic expansion also satisfies a relation of Matone＇s type. Then we discuss implication of the relation for proposed Nekrasov-Shatashvili scheme. the spectrum of periodic Toda chain, in the context of recentlyproposed Nekrasov-Shatashvili scheme.
