BPS and non-BPS kinks in a massive non-linear S^2-sigma model

Abstract

The stability of the kinks of the non-linear ${\mathbb{S}}^2$-sigma model discovered in Phys. Rev. Lett. 101(2008)131602 is discussed from several points of view. After a direct estimation of the spectra of the second-order fluctuation operators around topological kinks, first-order field equations are proposed to distinguish between BPS and non-BPS kinks. The one-loop mass shifts caused by quantum fluctuations around the topological kinks are computed using the Cahill-Comtet-Glauber formula proposed in Phys. Lett. 64B(1976)283. The (lack of) stability of the non-topological kinks is unveiled by application of the Morse index theorem. These kinks are identified as non-BPS states and the interplay between instability and supersymmetry is explored.

RevTex, 14 pages, 19 figures

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• Asymmetric kink scattering in a two-component scalar field theory model
• On domain walls in a Ginzburg-Landau non-linear S^2-sigma model
• Stable Kink-Kink and Metastable Kink-Antikink Solutions
• Domain walls in a non-linear ${\mathbb{S}}^2$-sigma model with homogeneous quartic polynomial potential
• Quantum fluctuations around low-dimensional topological defects
• On self-gravitating kinks in two-dimensional pseudo-riemannian universes
• On the semiclassical mass of ${\mathbb{S}}^2$-kinks
• Degenerate kinks and kink-instantons in two-dimensional scalar field models with $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetry
• Solitary Waves in Massive Nonlinear S^N-Sigma Models
• Geometric Construction of non-linear Sigma models with Q-ball/Q-kink solutions
• Topological and non-topological kink families in non-linear $({\mathbb{S}}^1\times {\mathbb{S}}^1)$-Sigma models