We demonstrate that in the supersymmetric extensions of a class of generalized (or K) field theories introduced recently, the static energy satisfies a Bogomoln’yi-Prasad-Sommerfield bound in each topological sector. Further, the corresponding soliton solutions saturate the bound. We also find strong indications that the Bogomoln’yi-Prasad-Sommerfield bound shows up in the supersymmetry algebra as a central extension, as is the case in the well-known supersymmetric field theories with standard kinetic terms.

• Received 1 October 2012

DOI:https://doi.org/10.1103/PhysRevD.86.105009