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arXiv · 1103.3851

Matone's relation of N=2 super Yang-Mills and spectrum of Toda chain

Wei He
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Abstract

In N=2 super Yang-Mills theory, the Matone's relation relates instanton corrections of the prepotential to instanton corrections of scalar field condensation < Trϕ^2 >. 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 the spectrum of periodic Toda chain, in the context of recently proposed Nekrasov-Shatashvili scheme.

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Wei He. 2011-04-13. Matone's relation of N=2 super Yang-Mills and spectrum of Toda chain. https://doi.org/10.1088/0253-6102%2F56%2F5%2F18

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