Finite ε2-corrections to the N=2 SYM prepotential

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 com...

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Main Authors: Jean-Emile Bourgine, Davide Fioravanti
Format: Article
Language:English
Published: Elsevier 2015-11-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S037026931500670X
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author Jean-Emile Bourgine
Davide Fioravanti
author_facet Jean-Emile Bourgine
Davide Fioravanti
author_sort Jean-Emile Bourgine
collection DOAJ
description 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.
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spelling doaj.art-35c90dbb0b094e3f87ecbdbe05f10a702022-12-22T03:39:21ZengElsevierPhysics Letters B0370-26931873-24452015-11-01750C13914610.1016/j.physletb.2015.09.002Finite ε2-corrections to the N=2 SYM prepotentialJean-Emile BourgineDavide FioravantiWe 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.http://www.sciencedirect.com/science/article/pii/S037026931500670X
spellingShingle Jean-Emile Bourgine
Davide Fioravanti
Finite ε2-corrections to the N=2 SYM prepotential
Physics Letters B
title Finite ε2-corrections to the N=2 SYM prepotential
title_full Finite ε2-corrections to the N=2 SYM prepotential
title_fullStr Finite ε2-corrections to the N=2 SYM prepotential
title_full_unstemmed Finite ε2-corrections to the N=2 SYM prepotential
title_short Finite ε2-corrections to the N=2 SYM prepotential
title_sort finite ε2 corrections to the n 2 sym prepotential
url http://www.sciencedirect.com/science/article/pii/S037026931500670X
work_keys_str_mv AT jeanemilebourgine finitee2correctionstothen2symprepotential
AT davidefioravanti finitee2correctionstothen2symprepotential