Comments on the Nekrasov-type formula for E-string theory
Takenori Ishii
TL;DR
This paper extends the Nekrasov-type formula for E-string theory to cases with three and four Wilson lines, confirming its validity and deriving the associated Seiberg-Witten curves, including their dependence on Wilson lines.
Contribution
It generalizes the Nekrasov-type formula for E-string theory to more Wilson line cases and demonstrates the derivation of Seiberg-Witten curves from the formula.
Findings
Nekrasov-type formula is valid for three and four Wilson lines
Seiberg-Witten curves are reproduced from the formula
Dependence of curves on Wilson lines is shown
Abstract
We generalise our previous result\cite{13} to cases with three and four Wilson lines. We show that the Nekrasov-type formula for E-string theory is valid for those cases and the Seiberg-Witten curves are reproduced from the formula. In addition, we show the dependence of the Seiberg-Witten curve on the Wilson lines.
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