Title: Fermionic bound states in distinct kinklike backgrounds Show Chinese title

Title: 不同类孤子背景下费米子束缚态

Abstract: This work deals with fermions in the background of distinct localized structures in the two-dimensional spacetime. Although the structures have similar topological character, which is responsible for the appearance of fractionally charged excitations, we want to investigate how the geometric deformations that appear in the localized structures contribute to the change in the physical properties of the fermionic bound states. We investigate the two-kink and compact kinklike backgrounds, and consider two distinct boson-fermion interactions, one motivated by supersymmetry and the other described by the standard Yukawa coupling. Show Chinese abstract

Abstract: 本文研究了二维时空背景下不同局域化结构中的费米子。尽管这些结构具有相似的拓扑特性，这导致分数电荷激发的出现，但我们希望研究出现在局域化结构中的几何变形如何影响费米子束缚态的物理性质。我们研究了双孤子和紧致孤子状背景，并考虑了两种不同的玻色子-费米子相互作用，一种由超对称性激发，另一种由标准的杨-米尔斯耦合描述。