Degenerate domain walls in supersymmetric theories

• 成果类型: Article
• 署名作者: Che, Shi; Ievlev, Evgenii; Shifman, Mikhail
• 署名单位: University of Minnesota System; University of Minnesota Twin Cities; University of Minnesota System; University of Minnesota Twin Cities
• 刊物名称: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
• ISSN/ISSBN: 0027-9443
• DOI: 10.1073/pnas.2502703122
• 发表日期: 2025-04-15
• 关键词: monopoles; VIOLATION

摘要

In supersymmetric Yang-Mills theories tension-degenerate domain walls are typical. Adding matter fields in fundamental representation, we arrive at supersymmetric quantum chromodynamics (SQCD) supporting similar walls. We demonstrate that the degenerate domain walls can belong to one of two classes: i) locally distinguishable, i.e. those which differ from each other locally (which could be detected in local measurements); and ii) those which have identical local structure and are differentiated only topologically, through a judicially chosen compactification of R4. Depending on the number of flavors F and the pattern of Higgsing, both classes can coexist among SQCD k walls interpolating between the vacua n and n + k. We prove that the overall multiplicity of the domain walls obtained after accounting for both classes is , as was discovered previously in limiting cases. (Here, N is the v(N,k)(walls) = N!/[(N - k)!k!]) Thus, v(N,k)(walls) is a peculiar index. For the locally distinguishable degenerate domain walls, we observe two-wall junctions, a phenomenon specific for supersymmetry with central extensions. This phenomenon does not exist for topological replicas.