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

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

2011-03-20

arxiv.org/abs/1103.3851v3

Commun.Theor.Phys. 56(2011)905--912

Physics

High Energy Physics

High Energy Physics - Theory

17 pages; v2 minor changes, references added; v3 more material added in 2nd section, clarification in 4th section

Scientific paper

In N=2 super Yang-Mills theory, the Matone's relation relates instanton corrections of the prepotential to instanton corrections of scalar field condensation < Tr\phi^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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