Title: Geometrically expanding the BPS vortex of a non-canonical multi-field theory Show Chinese title

Title: 几何上扩展非规范多场理论中的BPS涡旋

Abstract: Considering a non-canonical multi-field theory, we propose a mechanism of geometric expansion for Abrikosov-Nielsen-Olesen (ANO) vortices. One builds the general setup adopting a non-canonical O(3)-sigma model, non-minimally coupled through an anomalous magnetic dipole interaction to a gauge and real scalar field. By embracing a hyperbolic non-canonical extension, one finds that self-dual vortex configurations undergo geometric expansion, deforming ANO-like vortices into disk-like structures, mitigating their energy, and generating concentric energy rings around the core. Furthermore, these vortices exhibit quantized magnetic flux and degenerate solutions. Finally, we highlight that the analyzed vortices carry energy below the corresponding magnetic flux while preserving a singularity at their origin. Show Chinese abstract

Abstract: 考虑一种非规范的多场理论，我们提出了一种几何膨胀机制，用于Abrikosov-Nielsen-Olesen（ANO）涡旋。 通过采用一种非规范的O(3)-sigma模型，并通过异常磁偶极相互作用与规范场和实标量场非最小耦合，构建了通用框架。 通过采用双曲非规范扩展，发现自对偶涡旋配置会发生几何膨胀，将类似ANO的涡旋变形为盘状结构，降低其能量，并在核心周围产生同心能量环。 此外，这些涡旋表现出量子化的磁通量和简并解。 最后，我们强调，所分析的涡旋携带的能量低于相应的磁通量，同时在其原点保留奇点。