Quantum Twistor-Like p-BRANES with 3/4 of D = 4, N = 1 Supersymmetry

We study the Hamiltonian structure and constraints of twistor-like super p-brane which preserves 3/4 of D = 4, N = 1 supersymmetry using the conversion method. Classical and quantum realizations of the BRST charge, the unified superalgebra of symmetries of the p-brane action, including generalized global superconformal OSp(1|8) symmetry together with Virasoro and Weyl symmetries, are presented. We prove nilpotency of the Hermitian quantum BRST charge of the p-brane and closure of the quantized superalgebra OSp(1|8) of its global symmetry.