Conformal blocks for admissible representations in \(SL(2)\) current algebra

DOI10.1016/0550-3213(95)00499-8zbMath0974.17515arXivhep-th/9504127OpenAlexW2088081694MaRDI QIDQ1902706

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/9504127

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

THREE-POINT FUNCTIONS IN CONFORMAL FIELD THEORY WITH AFFINE LIE GROUP SYMMETRY, Hamiltonian reduction of \(\mathrm{SL}(2)\) theories at the level of correlators, OPERATOR PRODUCT EXPANSION IN SL(2) CONFORMAL FIELD THEORY, Negative screenings in Liouville theory, Affine Jordan cells, logarithmic correlators, and Hamiltonian reduction, Admissible level \(\mathfrak{osp}(1|2)\) minimal models and their relaxed highest weight modules, Quantum $q$-Langlands Correspondence, Status of the operator approach to Liouville theory, Negative screenings in conformal field theory and 2D gravity: The braiding matrix., Admissible \(\widehat{\text{sl}}(2|1;{\mathbb{C}})_k\) characters and parafermions, On affine Lie superalgebras, \(\text{AdS}_3/\text{CFT}\) correspondence and world-sheets for world-sheets

Cites Work

• Unnamed Item
• 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
• Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
• 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 \(\widehat{\mathfrak sl}(2)\)
• Hamiltonian reduction of \(\mathrm{SL}(2)\) theories at the level of correlators