Physical States and BRST Operators for Higher-spin $W$ Strings
| dc.creator | Liu, Yu-Xiao | |
| dc.creator | Wei, Shao-Wen | |
| dc.creator | Zhang, Li-Jie | |
| dc.creator | Ren, Ji-Rong | |
| dc.date | 2008-09-15 | |
| dc.date | 2009-04-19 | |
| dc.date.accessioned | 2026-07-07T13:07:33Z | |
| dc.date.available | 2026-07-07T13:07:33Z | |
| dc.description | In this paper, we mainly investigate the $W_{2,s}^{M}\otimes W_{2,s}^{L}$ system, in which the matter and the Liouville subsystems generate $W_{2,s}^{M}$ and $W_{2,s}^L$ 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 $W_{1,2,s}$ algebras. Based on these linear realizations, BRST operators for $W_{2,s}$ algebras are obtained. Finally, we construct new BRST charges of Liouville system for $W_{2,s}^{L}$ strings at the specific values of central charges $c$: $c=-{22/5}$ for $W_{2,3}^{L}$ algebra, $c=-24$ for $W_{2,4}^{L}$ algebra and $c=-2,-{286/3}$ for $W_{2,6}^{L}$ algebra, at which the corresponding $W_{2,s}^L$ algebras are singular. | |
| dc.description | 18 pages, 2 tables, no figures | |
| dc.identifier | https://arxiv.org/abs/0809.2462 | |
| dc.identifier | http://arxiv.org/abs/0809.2462 | |
| dc.identifier | Eur.Phys.J.C60:675-684,2009 | |
| dc.identifier | doi:10.1140/epjc/s10052-009-0958-6 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228127 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Physical States and BRST Operators for Higher-spin $W$ Strings | |
| dc.type | text |