Physical States and BRST Operators for Higher-spin W Strings
نویسندگان
چکیده
In this paper, we mainly investigate the W 2,s ⊗W L 2,s system, in which the matter and the Liouville subsystems generate W 2,s and W L 2,s algebras respectively. We first give a brief discussion of the physical states for corresponding W stings. The lower states are given by freezing the spin-2 and spin-s currents. Then, introducing two pairs of ghost-like fields, we give the realizations of W1,2,s algebras. Based on these linear realizations, BRST operators for W2,s algebras are obtained. Finally, we construct new BRST charges of Liouville system for W 2,s strings at the specific values of central charges c: c = − 22 5 for W 2,3 algebra, c = −24 for W 2,4 algebra and c = −2,− 286 3 for W 2,6 algebra, at which the corresponding W 2,s algebras are singular.
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