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Finite ε2-corrections to the N=2 SYM prepotential

Jean-Emile Bourgine, Davide Fioravanti

Physics Letters B · 2015

doi:10.1016/j.physletb.2015.09.002 (opens in a new tab)

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Abstract

We derive the first ε2-correction of the instanton partition functions in 4D N=2 Super Yang–Mills (SYM) to the Nekrasov–Shatashvili limit ε2→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 ∇ that distinguishes the singularities within and outside the integration contour of the partition function.

Abstract licence: CC BY

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