Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-10-07
Phys. Lett. B710 (2012) 240-244
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, 1 figure, published version
Scientific paper
We study the BPS condition in the $\Omega$-deformed $\mathcal{N}=2$ super Yang-Mills theory when one of the $\epsilon$-parameters of the background is zero. We obtain the deformed BPS equation for dyons and the formula for their central charge. In particular, we find that the deformed BPS monopole equation has axially-symmetric solution and is equivalent to the Ernst equation. The monopole charge is shown to be undeformed. We construct one-monopole solution explicitly and examine its profile.
Ito Katsushi
Kamoshita Satoshi
Sasaki Shin
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