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May 8, 2026The European Physical Journal COpen Access

Half-BPS impurity backgrounds and supersymmetry

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Authors

DBD. BazeiaALA. C. Lehum

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Overview

Randomized trial explores supersymmetry in impurity backgrounds, suggesting a route to control inhomogeneous structures.

Key Points

  • This research aims to explore half-BPS impurity backgrounds in a supersymmetric framework to understand stability and constraints.
  • Developed a superspace framework for impurity deformations in D=1+1 dimensions.
  • Identified half-BPS conditions and derived first-order BPS equations for static bosonic matter.
  • Analyzed the effects of explicit coordinate dependence and derivative-dependent couplings on supersymmetric structures.
  • Established a sharp energy bound from Bogomol'nyi completion, indicating conditions for BPS solutions.
  • Identified how certain impurity couplings can hinder the Bogomol'nyi structure.
  • Derived fundamental constraints for static interface-type configurations in half-BPS sectors.

Cite This Study

Bazeia et al. (2026) studied this question.

synapsesocial.com/papers/69fd7ef7bfa21ec5bbf07470https://doi.org/10.1140/epjc/s10052-026-15714-z
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