Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-12-20
Nucl.Phys.Proc.Suppl. 101 (2001) 304-313
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX file, 10 page, 3 eps figure; uses espcrc2.sty (twocolumn). Talk presented by N. Sakai at the SUSY 30 workshop in Minneso
Scientific paper
10.1016/S0920-5632(01)01515-8
We have obtained an exact solution for the BPS domain wall junction for a N=1 supersymmetric theory in four dimensions and studied its properties. The model is a simplified version of the N=2 SU(2) gauge theory with N_f=1 broken to N=1 by the mass of the adjoint chiral superfield. We define mode equations and demonstrate explicitly that fermion and boson with the same mass have to come in pairs except massless modes. We work out explicitly massless Nambu-Goldstone (NG) modes on the BPS domain wall junction. We find that their wave functions extend along the wall to infinity (not localized) and are not normalizable. It is argued that this feature is a generic phenomenon of NG modes on domain wall junctions in the bulk flat space in any dimensions. NG fermions exhibit a chiral structure in accordance with unitary representations of (1, 0) supersymmetry algebra where fermion and boson with the same mass come in pairs except massless modes which can appear singly.
Ito Kenji
Naganuma Masashi
Oda Hodaka
Sakai Norisuke
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