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Spinor field realizations of the non-critical $W_{2,4}$ string based on the linear $W_{1,2,4}$ algebra

Li-Jie Zhang·Yu-Xiao Liu
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Abstract

In this paper, we investigate the spinor field realizations of the $W_{2,4}$ algebra, making use of the fact that the $W_{2,4}$ algebra can be linearized through the addition of a spin-1 current. And then the nilpotent BRST charges of the spinor non-critical $W_{2,4}$ string were built with these realizations.

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Li-Jie Zhang, Yu-Xiao Liu. 2006-02-21. Spinor field realizations of the non-critical $W_{2,4}$ string based on the linear $W_{1,2,4}$ algebra. https://doi.org/10.1088/0253-6102%2F46%2F4%2F023

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