Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-03-15
Phys.Rev. D66 (2002) 045010
Physics
High Energy Physics
High Energy Physics - Theory
20pages, 14 figures, minor misprint corrections, figures added, explanation of winding number added
Scientific paper
10.1103/PhysRevD.66.045010
Non-supersymmetric multi-wall configurations are generically unstable. It is proposed that the stabilization in compact space can be achieved by introducing a winding number into the model. A BPS-like bound is studied for the energy of configuration with nonvanishing winding number. Winding number is implemented in an ${\cal N}=1$ supersymmetric nonlinear sigma model with two chiral scalar fields and a bound states of BPS and anti-BPS walls is found to exist in noncompact spaces. Even in compactified space $S^1$, this nontrivial bound state persists above a critical radius of the compact dimension.
Sakai Norisuke
Sugisaka Ryo
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