English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

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

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