Supersymmetric extensions of K field theories
  We review the recently developed supersymmetric extensions of field theories with non-standard kinetic terms (so-called K field theories) in two an three dimensions. Further, we study the issue of topological defect formation in these supersymmetric theories. Specifically, we find supersymmetric K field theories which support topological kinks in 1+1 dimensions as well as supersymmetric extensions of the baby Skyrme model for arbitrary nonnegative potentials in 2+1 dimensions. 
C. Adam, J. M. Queiruga, J. Sanchez-Guillen, A. Wereszczynski
hep-th math-ph math.MP