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BPS Monopole Equation in Omega-background

arXiv:1103.2589 · doi:10.1007/JHEP04(2011)023

Abstract

We study deformed supersymmetries in N=2 super Yang-Mills theory in the Omega-backgrounds characterized by two complex parameters $ε_1, ε_2$. When one of the $ε$-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.

14 pages, typos corrected, published version in JHEP