Ghost field realizations of the spinor $W_{2,s}$ strings based on the linear W(1,2,s) algebras

TL;DR

This paper develops new ghost field realizations of W(2,3) and W(2,4) algebras by linearizing them with spin-1 currents, and constructs corresponding BRST charges for spinor non-critical strings.

Contribution

It introduces novel ghost field realizations for W(2,s) algebras based on their linearization, enabling new constructions of BRST charges for related string theories.

Findings

New ghost field realizations for W(2,3) and W(2,4) algebras

Construction of nilpotent BRST charges for these realizations

Enhanced understanding of W algebra linearization and string models

Abstract

It has been shown that certain W algebras can be linearized by the inclusion of a spin-1 current. This Provides a way of obtaining new realizations of the W algebras. In this paper, we investigate the new ghost field realizations of the W(2,s)(s=3,4) algebras, making use of the fact that these two algebras can be linearized. We then construct the nilpotent BRST charges of the spinor non-critical W(2,s) strings with these new realizations.