Non-Linear/Non-Commutative Non-Abelian Monopoles
Abstract
Using recently proposed non-linearly realized supersymmetry in non-Abelian gauge theory corrected to the order (alpha')2, we derive the non-linear BPS equations in the background B-field for the U(2) monopoles and instantons. We show that these non-Abelian non-linear BPS equations coincide with the non-commutative anti-self-dual equations via the Seiberg-Witten map.
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