https://doi.org/10.1140/epjc/s10052-009-0958-6
Regular Article - Theoretical Physics
Physical states and BRST operators for higher-spin W strings
1
Institute of Theoretical Physics, Lanzhou University, Lanzhou, 730000, China
2
Department of Physics, Shanghai University, Shanghai, 200444, China
* e-mail: weishaow06@lzu.cn
Received:
17
January
2009
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
