BPS and non-BPS kinks in a massive non-linear S^2-sigma model
Abstract
The stability of the kinks of the non-linear -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.
Keywords
Cite
@article{arxiv.0903.0593,
title = {BPS and non-BPS kinks in a massive non-linear S^2-sigma model},
author = {A. Alonso Izquierdo and M. A. Gonzalez Leon and J. Mateos Guilarte},
journal= {arXiv preprint arXiv:0903.0593},
year = {2009}
}
Comments
RevTex, 14 pages, 19 figures