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...
Main Authors: | , |
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Format: | Article |
Language: | English |
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Elsevier
2015-11-01
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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. |
first_indexed | 2024-04-12T08:56:53Z |
format | Article |
id | doaj.art-35c90dbb0b094e3f87ecbdbe05f10a70 |
institution | Directory Open Access Journal |
issn | 0370-2693 1873-2445 |
language | English |
last_indexed | 2024-04-12T08:56:53Z |
publishDate | 2015-11-01 |
publisher | Elsevier |
record_format | Article |
series | Physics Letters B |
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 |