Fusion in the \(W_ 3\) algebra

DOI10.1007/BF02103771zbMath0863.17022arXivhep-th/9403163MaRDI QIDQ1908049

Gérard M. T. Watts

Publication date: 10 June 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9403163

zbMATH Keywords

fusion rulesVirasoro minimal modelsquasi-finite representations\(WA_ 2\) algebra

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

Correlation functions with fusion-channel multiplicity in \( {\mathcal{W}}_3 \) Toda field theory, On some 3-point functions in the \(W_4\) CFT and related braiding matrix, Unitarity of rational \(N=2\) superconformal theories, Probing integrable perturbations of conformal theories using singular vectors, Testing Macdonald index as a refined character of chiral algebra, Second level semi-degenerate fields in \( {\mathcal{W}}_3 \) Toda theory: matrix element and differential equation, Example of 4-pt non-vacuum \(\mathcal{W}_3\) classical block, A note on decoupling conditions for generic level \(\widehat{sl}(3)_k\) and fusion rules

Cites Work

• Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras
• Infinite conformal symmetry in two-dimensional quantum field theory
• Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants
• Characters and fusion rules for \(W\)-algebras via quantized Drinfeld- Sokolov reduction
• Null vectors, 3-point and 4-point functions in conformal field theory
• Fusion rules of chiral algebras
• THE ANNIHILATING IDEALS OF MINIMAL MODELS