Symmetry Origin of Nonlinear Monopole
Koji Hashimoto, Takayuki Hirayama, Sanefumi Moriyama
TL;DR
This paper explores the symmetry origins of nonlinear monopoles in Born-Infeld theory, extending previous transformations to gauge fields and revealing a symmetry of the action, with simplified BPS equations via Legendre duality.
Contribution
It extends the scalar field transformation symmetry to gauge fields and demonstrates this as a symmetry of the action, providing a simpler BPS equation form using Legendre duality.
Findings
Transformation extends to gauge fields.
Transformation is a symmetry of the action.
Simplified BPS equation via Legendre duality.
Abstract
We revisit the non-linear BPS equation: the Dirac monopole of the Born-Infeld theory in the B-field background. The rotation used in our previous papers to discuss the scalar field by transforming the BPS equation into a linear one is extended to the case of gauge field. We also find that this transformation is a symmetry of the action. Moreover using the Legendre-dual formalism we present a simple expression of the BPS equation.
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