New Spinor Field Realizations of the Non-Critical $W_3$ String

Abstract

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 the addition of a spin-1 current. We then use these new realizations to build the nilpotent Becchi-Rouet-Stora--Tyutin (BRST) charges of the spinor non-critical $W_3$ string.

arXiv comment8 pages, no figures, revtex4 style, accepted by Chin. Phys. Lett

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Cited by in corpus (4)

• Spinor field realizations of the non-critical $W_{2,4}$ string based on the linear $W_{1,2,4}$ algebra
• Spinor Field Realizations of the half-integer $W_{2,s}$ Strings
• Physical States and BRST Operators for Higher-spin $W$ Strings
• Explicit field realizations of W algebras