Manifest supersymmetry for BPS walls in N=2 nonlinear sigma models

BPS equations and wall solutions are studied keeping (part of) supersymmetry (SUSY) manifest. Using N = 1 superfields, massive hyper-Kahler quotient is introduced to obtain massive N = 2 (8 SUSY) nonlinear sigma models in four dimensions with T*CPn target manifold, which yield BPS wall solutions for the n = 1 case. We also describe massive hyper-Kahler quotient of T*CPn by using the harmonic superspace formalism which preserves all SUSY manifestly, and BPS equations and wall solutions are obtained in the n = 1 case. (C) 2003 Elsevier Science B.V. All rights reserved.