Supersymmetry and Bogomol'nyi equations in the Abelian Higgs Model
Jos\'e Edelstein, Carlos Nu\~nez, Fidel Schaposnik
TL;DR
This paper explores the relationship between supersymmetry and Bogomol'nyi equations in the Abelian Higgs model, extending the analysis to both 2+1 and 2-dimensional Euclidean spaces.
Contribution
It clarifies the connection between supersymmetry and Bogomol'nyi equations through supercharge algebra analysis in the Abelian Higgs model.
Findings
Supersymmetry constrains the form of Bogomol'nyi equations.
The analysis applies to both 2+1 and 2-dimensional Euclidean spaces.
Supercharge algebra reveals the underlying structure linking supersymmetry and soliton solutions.
Abstract
The N=2 supersymmetric extension of the 2+1 dimensional Abelian Higgs model is discussed. By analysing the resulting supercharge algebra, the connection between supersymmetry and Bogomol'nyi equations is clarified. Analogous results are presented when the model is considered in 2-dimensional (Euclidean) space.
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