Free field realization of \(\text{SL}(2)\) correlators for admissible representations, and Hamiltonian reduction for correlators

DOI10.1016/0920-5632(96)00312-XzbMath0957.81662arXivhep-th/9512175OpenAlexW2081479202MaRDI QIDQ5927124

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Publication date: 8 March 2001

Published in: Nuclear Physics. B. Proceedings Supplements (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9512175

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40)

Related Items (8)

SU(2)₀ AND OSp(2|2)_-2 WZNW MODELS: TWO CURRENT ALGEBRAS, ONE LOGARITHMIC CFT ⋮ Structure of intermediate Wakimoto modules ⋮ Free field realizations of 2D current algebras, screening currents and primary fields ⋮ Affine Jordan cells, logarithmic correlators, and Hamiltonian reduction ⋮ Hidden \(sl(2,\mathbb R)\) symmetry in 2d CFTs and the wave function of 3d quantum gravity ⋮ Extended multiplet structure in logarithmic conformal field theories ⋮ THE SU(2)₀ WZNW MODEL ⋮ The \(\overline{\text{su}}(2)_{-1/2}\) WZW model and the \(\beta\gamma\) system

Cites Work

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• On BRST cohomology of \(\mathrm{SL}(2,\mathbb R)_{p/q-2}/\mathrm{SL}(2,\mathbb R)_{p/q-2}\) gauged WZNW models
• Hidden SL(n) symmetry in conformal field theories
• Fock representations and BRST cohomology in \(\mathrm{SL}(2)\) current algebra
• Representations of affine Kac-Moody algebras, bosonization and resolutions
• Gauss-Manin connection of integral of difference products
• Current algebras and Wess-Zumino model in two dimensions
• Arrangements of hyperplanes and Lie algebra homology
• Fusion algebra at a rational level and cohomology of nilpotent subalgebras of \(\widehat{\mathfrak sl}(2)\)

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