Abstract

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

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