1994/02/23 by H. Lu, H. Lü, C.N. Pope +5 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #hep-th
paper · pdf · doi:10.1016/0370-2693(94)90724-2
published as Phys.Lett.B327:241-248,1994 · 12 pages, CTP TAMU-8/94, LZU-TH-94/02
arxiv created 1994/02/23 · openalex publication_date 1994/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
BRST operators for two-dimensional theories with spin-2 and spin-s currents, generalising the W3 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 B2 algebra, and that two of the four s=6 BRST operators are associated with the W G2 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.