发表机构
Universidade Federal da Paraíba; Universidade Federal do Pará（帕拉伊巴联邦大学; 帕拉联邦大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究二维时空中多场标量模型与局域杂质耦合的情况，利用刚性$\mathcal{N}=(1,1)$超空间形式，导出相关方程、条件和边界项，通过多场模型分析BPS构型及能量密度分布，展示杂质对BPS轮廓和能量密度的影响。
AI 中文摘要
我们为二维时空中通过spurion超场与局域杂质耦合的多场标量模型开发了一种刚性$\mathcal{N}=(1,1)$超空间形式。spurionic完备给出了明显的超对称作用，并为描述杂质背景下相互作用的标量场提供了系统框架。超对称性作为组织原则控制玻色子半BPS部分，导出了相关耦合BPS方程等，通过多场模型进行说明并分析了BPS构型和能量密度分布。
英文摘要
We develop a rigid $\mathcal{N}=(1,1)$ superspace formulation for multifield scalar models coupled to localized impurities through spurion superfields in two-dimensional spacetime. The spurionic completion gives a manifestly supersymmetric action and provides a systematic framework for describing interacting scalar fields in the presence of impurity backgrounds. In this setting, supersymmetry acts as an organizing principle for a controlled bosonic half-BPS sector, with the preserved projector selecting the impurity-compatible first-order equations. We derive the corresponding coupled BPS equations, energy density, boundary conditions, and Bogomol'nyi bound, showing that localized impurities deform the BPS profiles and redistribute the local energy density while leaving the total BPS energy fixed by the topological boundary term. We illustrate the formalism through representative one-, two-, and three-field models, analyzing the resulting BPS configurations and their local energy density profiles.
Comments14 pages, 12 figures; v2, to appear in EPJC
