Winding number and non-BPS bound states of walls in nonlinear sigma models

Abstract

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 $\mathcal{N}=1$ 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.

20pages, 14 figures, minor misprint corrections, figures added, explanation of winding number added

References in corpus (5)

• Multi-Domain Walls in Massive Supersymmetric Sigma-Models
• Simple SUSY Breaking Mechanism by Coexisting Walls
• BPS Walls and Junctions in SUSY Nonlinear Sigma Models
• An Exact Solution of BPS Junctions and Its Properties
• SUSY Breaking by stable non-BPS configurations

Cited by in corpus (8)

• Non-Abelian Walls in Supersymmetric Gauge Theories
• Solvable Models of Domain Walls in N=1 Supergravity
• Exact Wall Solutions in 5-Dimensional SUSY QED at Finite Coupling
• Kink dynamics in a system of two coupled scalar fields in two space-time dimensions
• Brane Dynamics From Non-Linear Realizations
• Exactly solved BPS wall and winding number in N=1 Supergravity
• Non-BPS Walls and Their Stability in 5D Supersymmetric Theory
• BPS and semi-BPS kink families in two-component scalar field theories with fourth-degree polynomial potentials