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arXiv · 0903.0593

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

A. Alonso Izquierdo·M. A. Gonzalez Leon·J. Mateos Guilarte
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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.

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A. Alonso Izquierdo, M. A. Gonzalez Leon, J. Mateos Guilarte. 2009-06-15. BPS and non-BPS kinks in a massive non-linear S^2-sigma model. https://doi.org/10.1103/physrevd.79.125003

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