BPS Monopole Equation in Omega-background
Katsushi Ito, Satoshi Kamoshita, Shin Sasaki

TL;DR
This paper investigates the effects of Omega-background deformations on N=2 super Yang-Mills theory, deriving a deformed BPS monopole equation and analyzing preserved supersymmetries.
Contribution
It introduces a deformed BPS monopole equation in Omega-backgrounds and explores supersymmetry preservation, extending understanding of deformed supersymmetric gauge theories.
Findings
Derived the deformed BPS monopole equation in Omega-backgrounds.
Computed the central charge of the deformed supersymmetry algebra.
Identified conditions under which supersymmetries are preserved.
Abstract
We study deformed supersymmetries in N=2 super Yang-Mills theory in the Omega-backgrounds characterized by two complex parameters . When one of the -parameters vanishes, the theory has extended supersymmetries. We compute the central charge of the algebra and obtain the deformed BPS monopole equation. We examine supersymmetries preserved by the equation.
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