The exact fermion zero mode on any BPS monopole-string-domain wall background takes the profile f=Ω^{-h/4}, and its localization moves among monopoles, strings, domain walls, and convex polyhedral vacuum regions with a fermion mass shift.
Construction of Non-Abelian Walls and Their Complete Moduli Space
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We present a systematic method to construct exactly all Bogomol'nyi-Prasad-Sommerfield (BPS) multi-wall solutions in supersymmetric (SUSY) U(N_C) gauge theories in five dimensions with N_F hypermultiplets in the fundamental representation for infinite gauge coupling. The moduli space of these non-Abelian walls is found to be the complex Grassmann manifold SU(N_F)/(SU(N_C)xSU(N_F-N_C)xU(1)) endowed with a deformed metric.
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Massless monopole-string-domain wall fermions and polyhedral vacuum fermions
The exact fermion zero mode on any BPS monopole-string-domain wall background takes the profile f=Ω^{-h/4}, and its localization moves among monopoles, strings, domain walls, and convex polyhedral vacuum regions with a fermion mass shift.