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arXiv · 1506.01340

Finite $ε_2$-corrections to the $\mathcal{N}=2$ SYM prepotential

Jean-Emile Bourgine·Davide Fioravanti
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Abstract

We derive the first $ε_2$-correction to the instanton partition functions of $\mathcal{N}=2$ Super Yang-Mills (SYM) in four dimensions in the Nekrasov-Shatashvili limit $ε_2\rightarrow 0$. In the latter we recall the emergence of the famous Thermodynamic Bethe Ansatz-like equation which has been found by Mayer expansion techniques. Here we combine efficiently these to field theory arguments. In a nutshell, we find natural and resolutive the introduction of a new operator $\nabla$ that distinguishes the singularities within and outside the integration contour of the partition function.

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Jean-Emile Bourgine, Davide Fioravanti. 2015-06-03. Finite $ε_2$-corrections to the $\mathcal{N}=2$ SYM prepotential. https://doi.org/10.1016/j.physletb.2015.09.002

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