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arXiv · 1608.03526

Topological solitons in the supersymmetric Skyrme model

Sven Bjarke Gudnason·Muneto Nitta·Shin Sasaki
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Abstract

A supersymmetric extension of the Skyrme model was obtained recently, which consists of only the Skyrme term in the Nambu-Goldstone (pion) sector complemented by the same number of quasi-Nambu-Goldstone bosons. Scherk-Schwarz dimensional reduction yields a kinetic term in three or lower dimensions and a potential term in two dimensions, preserving supersymmetry. Euclidean solitons (instantons) are constructed in the supersymmetric Skyrme model. In four dimensions, the soliton is an instanton first found by Speight. Scherk-Schwarz dimensional reduction is then performed once to get a 3-dimensional theory in which a 3d Skyrmion-instanton is found and then once more to get a 2d theory in which a 2d vortex-instanton is obtained. Although the last one is a global vortex it has finite action in contrast to conventional theory. All of them are non-BPS states breaking all supersymmetries.

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Sven Bjarke Gudnason, Muneto Nitta, Shin Sasaki. 2016-08-11. Topological solitons in the supersymmetric Skyrme model. https://doi.org/10.1007/jhep01(2017)014

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