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arXiv · hep-th/9402133

A note on W_{2,s} strings

H. Lu·C. N. Pope·X. J. Wang·S. C. Zhao
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Abstract

BRST operators for two-dimensional theories with spin-2 and spin-$s$ currents, generalising the $W_3$ BRST operator of Thierry-Mieg, have previously been obtained. The construction was based on demanding nilpotence of the BRST operators, making no reference to whether or not an underlying $W$ algebra exists. In this paper, we analyse the known cases ($s=3$, 4, 5 and 6), showing that the two $s=4$ BRST operators are associated with the $W\!B_2$ algebra, and that two of the four $s=6$ BRST operators are associated with the $W\!G_2$ algebra. We discuss the cohomology of all the known higher-spin BRST operators, the Weyl symmetry of their physical states, and their relation with certain minimal models. We also obtain the BRST operator for the case $s=7$.

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H. Lu, C. N. Pope, X. J. Wang, S. C. Zhao. 1994-02-23. A note on W_{2,s} strings. https://doi.org/10.1016/0370-2693(94)90724-2

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