Explicit formula for singular vectors of the Virasoro algebra with central charge less than 1

DOI10.1016/j.chaos.2004.09.073zbMath1136.81384arXivhep-th/0408074OpenAlexW2036016975MaRDI QIDQ2483657

Reiho Sakamoto

Publication date: 25 July 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0408074

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) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (2)

Lie super-bialgebra structures on the Ramond \(N = 2\) super-Virasoro algebra ⋮ Free field realization of the twisted Heisenberg-Virasoro algebra at level zero and its applications

Cites Work

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• Unitary representations of some infinite dimensional groups
• Collective field theory, Calogero-Sutherland model and generalized matrix models
• Covariant differential equations and singular vectors in Virasoro representations
• Degenerate conformal field theories and explicit expressions for some null vectors
• Some combinatorial properties of Jack symmetric functions
• Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra
• Excited states of the Calogero-Sutherland model and singular vectors of the \(W_N\) algebra
• Singular vectors of the Virasoro algebra in terms of Jack symmetric polynomials
• The Quantum Calogero-Moser Model: Algebraic Structures
• Topics in quantum integrable systems

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