Topological solitons in the supersymmetric Skyrme model
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.
Keywords
Cite
@article{arxiv.1608.03526,
title = {Topological solitons in the supersymmetric Skyrme model},
author = {Sven Bjarke Gudnason and Muneto Nitta and Shin Sasaki},
journal= {arXiv preprint arXiv:1608.03526},
year = {2017}
}
Comments
LaTeX: 20 pages, 3 figures; V2: typos corrected