Effect of the supersymmetry enhancement due to the presence of tensor central charge coordinates in the models of tensionless superstring and superbrane is studied. Exactly solvable super p-brane model preserving 3/4 of the D = 4, N = 1 supersymmetry is presented. The fine tuning of extra kappa-symmetry with the R-symmetry is observed. We show that the general solution for the Goldstone fermion is pure static. (C) 2002 Elsevier Science B.V. All rights reserved. References: 28
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