Citation
Abraham, E., & Townsend, P. (1992). Q-kinks. Physics Letters B, 291(1–2), 85–88. https://doi.org/10.1016/0370-2693(92)90122-K
Summary
Certain (4,4)-supersymmetric (1+1)-dimensional sigma-models admit a scalar potential. We exhibit models of this type for which there are static particle-like solutions stabilized by a three-vector topological charge Q. These solutions form a special class of (generally time-dependent) “Q-kink” solutions stabilized by a quaternionic charge Q = (Q0, Q), where Q0 is a Noether charge. Q-kinks saturate a Bogomol'nyi-type bound and break half the supersymmetry. As solutions of a four-dimensional field theory they constitute examples of type II supermembranes.