Regular Article - Theoretical Physics
Physical states and BRST operators for higher-spin W strings
Institute of Theoretical Physics, Lanzhou University, Lanzhou, 730000, China
2 Department of Physics, Shanghai University, Shanghai, 200444, China
* e-mail: email@example.com
Published online: 28 February 2009
In this paper, we mainly investigate the W 2,s M ⊗ W 2,s L system, in which the matter and the Liouville subsystems generate the W 2,s M and W 2,s L algebras, respectively. We first give a brief discussion of the physical states for the corresponding W strings. 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 the W 1,2,s algebras. Based on these linear realizations, the BRST operators for the W 2,s algebras are obtained. Finally, we construct new BRST charges of the Liouville system for the W 2,s L strings at the specific values of the central charges c: for the W 2,3 L algebra, c=−24 for the W 2,4 L algebra and for the W 2,6 L algebra, at which the corresponding W 2,s L algebras are singular.
© Springer-Verlag, 2009