2003/10/31 by W. Nahm, W Nahm, D. H. Tchrakian +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Fermion #Goldstone #Higgs boson #Instanton #Massless particle #Sigma #Sigma model #Topological Materials and Phenomena #hep-th
paper · pdf · doi:10.1088/1126-6708/2004/04/075
published as JHEP 0404 (2004) 075 · 20 pages latex; expanded
arxiv created 2004/03/15 · openalex publication_date 2004/05/01 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
We investigate 4+d dimensional fermionic models in which the system in codimension-d supports a topologically stable solution, and in which the fermion may be localised to the brane, with power law in 'instanton' backgrounds and exponentially in 'soliton' backgrounds. When the fermions are isoscalars, the mechanism fails, while for isospinor fermions it is successful. As backgrounds we consider instantons of Yang--Mills and sigma models in even codimensions, solitons of sigma models in odd codimensions, as well as solitons of Higgs and Goldstone models in all codimensions.