Hamiltonian reduction of \(\mathrm{SL}(2)\) theories at the level of correlators

DOI10.1016/0550-3213(95)00503-XzbMath1003.81546arXivhep-th/9506180OpenAlexW1985699571MaRDI QIDQ1902707

Yanyan Li

Publication date: 22 November 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9506180

zbMATH Keywords

admissible representationsconformal minimal modelsfree field Wakimoto constructionminimal model correlator

Mathematics Subject Classification ID

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 (9)

THREE-POINT FUNCTIONS IN CONFORMAL FIELD THEORY WITH AFFINE LIE GROUP SYMMETRY ⋮ Conformal blocks for admissible representations in \(SL(2)\) current algebra ⋮ Fusion rules and singular vectors of the \(\text{osp}(1|2)\) current algebra ⋮ On AGT description of \( \mathcal{N} = 2 \) SCFT with \(N_{f } = 4\) ⋮ Structure constants for the \(\text{osp}(1|2)\) current algebra ⋮ \(A_1^{(1)}\) admissible representations - fusion transformations and local correlators ⋮ Free field approach to string theory on \(\text{AdS}_3\) ⋮ LANGLANDS DUALITY IN LIOUVILLE-$H^3_+$ WZNW CORRESPONDENCE ⋮ On structure constants and fusion rules in the \(SL(2,\mathbb{C})/SU(2)\)-WZNW model

Cites Work

• Unnamed Item
• 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
• Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
• Current algebras and Wess-Zumino model in two dimensions
• Conformal blocks for admissible representations in \(SL(2)\) current algebra

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