On the BRST structure of W₃ gravity coupled to c=2 matter

1993/03/30 by P. Bouwknegt, Peter Bouwknegt, James G. McCarthy +6 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9303164

14 pages, USC-93/14, ADP-93-203/M17

arxiv created 1993/03/30 · openalex publication_date 1993/03/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present some explicit results on the structure of singular vectors in c=2 Verma modules of the \cW₃ algebra. Using the embedding patterns of those vectors we construct resolutions for the c=2 irreducible modules, and thus are able to compute some of the BRST cohomology of \cW₃ gravity coupled to c=2 matter. In particular, we determine the states in the ground ring of the theory. (To appear in the proceedings of the AMS Special Session on "Geometry and Physics", USC, Los Angeles, November 5-6, 1992)

Citations

• Some aspects of free field resolutions in 2D CFT with application to the quantum Drinfeld-Sokolov reduction

Cited by

• The Kazhdan–Lusztig conjecture for 𝒲 algebras

Related

• Chiral ring in the 4D W₃ string
• The hamiltonian reduction of the BRST complex and N=2 SUSY
• BRST cohomology ring in 2D gravity coupled to minimal models
• The structure of the ground ring in critical W₃ gravity
• W(0,b) algebra and the dual theory of 3D asymptotically flat higher spin gravity