Critical and non-critical W_{2,4} strings

Abstract

Nilpotent BRST operators for higher-spin $W_{2,s}$ strings, with currents of spins 2 and $s$, have recently been constructed for $s=4$, 5 and 6. In the case of $W_{2,4}$, this operator can be understood as being the BRST operator for the critical $W{B}_2$ string. In this paper, we construct a generalised BRST operator that can be associated with a non-critical $W_{2,4}$ string, in which $W{B}_2$ matter is coupled to the $W{B}_2$ gravity of the critical case. We also obtain the complete cohomology of the critical $W_{2,4}$ BRST operator, and investigate the physical spectra of the $s=5$ and $s=6$ string theories.

33 pages, CTP TAMU-70/93, LZU-TH-93/09

References in corpus (10)

• Algebraic Structures and Differential Geometry in 2D String Theory
• BRST Analysis of Physical States for 2D (Super) Gravity Coupled to (Super) Conformal 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
• Discrete States in the $W_3$ String
• The Complete Spectrum of the $W_N$ String
• The $W_3$-string spectrum
• The Interacting $W_3$ String
• Higher-spin strings and W minimal models

Cited by in corpus (11)

• Linearizing $W_{2,4}$ and $W{B}_2$ Algebras
• A W-String Realization of the Bosonic String
• Spinor Field Realizations of Non-critical $W_{2,s}$ Strings
• New Spinor Field Realizations of the Non-Critical $W_3$ String
• Spinor field realizations of the non-critical $W_{2,4}$ string based on the linear $W_{1,2,4}$ algebra
• BRST Operators for Higher-spin Algebras
• Spinor Field Realizations of the half-integer $W_{2,s}$ Strings
• BRST cohomology of the critical $W_4$ string
• Physical States and BRST Operators for Higher-spin $W$ Strings
• Explicit field realizations of W algebras
• A BRST charge for non-critical $\W_{2,s}$ strings