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

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.

10 pages, no figures, revtex4 style, accepted by Commun.Theor.Phys

References in corpus (14)

• Extended N=2 Superconformal Structure of Gravity and W-Gravity Coupled to Matter
• A BRST Operator for non-critical W-Strings
• On the Spectrum and Scattering of W_3 Strings
• A Derivation of the BRST Operator for Non-Critical W-Strings
• The Complete Spectrum of the $W_N$ String
• The $W_3$-string spectrum
• Linearizing $W_{2,4}$ and $W{B}_2$ Algebras
• Critical and non-critical W_{2,4} strings
• Linearizing W-Algebras
• A note on W_{2,s} strings
• Embedding of the Bosonic String into the $W_3$ String
• Spinor Field Realizations of Non-critical $W_{2,s}$ Strings
• Note on W3 Realizations of the Bosonic String
• New Spinor Field Realizations of the Non-Critical $W_3$ String

Cited by in corpus (3)

• 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