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...

Full description

Bibliographic Details
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
Description
Summary: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.
ISSN:0370-2693
1873-2445