Spinor Field Realizations of Non-critical $W_{2,s}$ Strings

TL;DR

This paper constructs nilpotent BRST charges for non-critical spinor $W_{2,s}$ strings, providing detailed cases for $s=3,4$, including an explicit realization for $s=4$, advancing the understanding of their algebraic structure.

Contribution

It introduces a new construction of nilpotent BRST charges for non-critical spinor $W_{2,s}$ strings, with explicit realizations for specific cases.

Findings

BRST charges constructed for $s=3,4$

Explicit spinor realization for $s=4$

Graded structure of BRST charges

Abstract

In this paper, we construct the nilpotent Becchi-Rouet-Stora-Tyutin($BRST$) charges of spinor non-critical $W_{2,s}$ strings. The cases of $s=3,4$ are discussed in detail, and spinor realization for $s=4$ is given explicitly. The $BRST$ charges are graded.