On Higher-spin Generalisations of String Theory

Abstract

We construct BRST operators for certain higher-spin extensions of the Virasoro algebra, in which there is a spin-$s$ gauge field on the world sheet, as well as the spin-2 gauge field corrresponding to the two-dimensional metric. We use these BRST operators to study the physical states of the associated string theories, and show how they are related to certain minimal models.

16 pages. CTP TAMU-22/93

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• W-Strings 93
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• New Spinor Field Realizations of the Non-Critical $W_3$ String
• BRST Operators for Higher-spin Algebras
• Spinor Field Realizations of the half-integer $W_{2,s}$ Strings
• Physical States and BRST Operators for Higher-spin $W$ Strings
• A BRST charge for non-critical $\W_{2,s}$ strings
• Explicit field realizations of W algebras
• BRST structure of non-linear superalgebras