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We investigate the new spinor field realizations of the $W_{3}$ algebra,making use of the fact that the $W_{3}$ algebra can be linearized by theaddition of a spin-1 current. We then use these new realizations to build thenilpotent Becchi-Rouet-Stora--Tyutin (BRST) charges of the spinor non-critical$W_{3}$ string.Comment: 8 pages, no figures, revtex4 style, accepted by Chin. Phys. Let

New Spinor Field Realizations of the Non-Critical W 3 String

New Spinor Field Realizations of the Non-Critical W ₃ String