Supersymmetry and Bogomol'nyi equations in the Maxwell Chern-Simons systems
Bogdan Damski (Jagiellonian University)
TL;DR
This paper constructs an N=2 supersymmetric extension of the Maxwell Chern-Simons model using superspace formalism, revealing natural potential terms, an extra scalar field, and deriving Bogomol'nyi equations.
Contribution
It provides the first explicit N=2 supersymmetric extension of the Maxwell Chern-Simons model with novel potential and scalar field insights.
Findings
Derived Bogomol'nyi equations for the model
Identified natural emergence of potential and scalar field
Constructed supersymmetric extension explicitly
Abstract
We take advantage of the superspace formalism and explicitly find the N=2 supersymmetric extension of the Maxwell Chern-Simons model. In our construction a special form of a potential term and indispensability of an additional neutral scalar field arise naturally. By considering the algebra of supersymmetric charges we find Bogomol'nyi equations for the investigated model.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum chaos and dynamical systems · Advanced Topics in Algebra