The Low-level Spectrum of the $W_3$ String

Abstract

We investigate the spectrum of physical states in the $W_3$ string theory, up to level 2 for a multi-scalar string, and up to level 4 for the two-scalar string. The (open) $W_3$ string has a photon as its only massless state. By using screening charges to study the null physical states in the two-scalar $W_3$ string, we are able to learn about the gauge symmetries of the states in the multi-scalar $W_3$ string.

31 pages, Plain Tex, CTP TAMU-70/92, Goteborg ITP 92-43, Imperial/TP/91-92/22, KCL-TH-92-8

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• The Multivalued Free-Field Maps of Liouville and Toda Gravities
• A W-String Realization of the Bosonic String
• The covariant scattering and cohomology of $W_3$ strings
• On the Cohomology of the Noncritical $W$-string
• Lectures on W-Gravity, W-Geometry and \W-Strings
• New Realisations of Minimal Models and the Structure of W-Strings
• Physical States and BRST Operators for Higher-spin $W$ Strings