The quantum group structure of 2D gravity and minimal models. II: The genus-zero chiral bootstrap

DOI10.1007/BF02101934zbMath0796.17030arXivhep-th/9302035MaRDI QIDQ1320296

Eugène Cremmer, Jean-François Roussel, Jean-Loup Gervais

Publication date: 4 October 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9302035

zbMATH Keywords

minimal modelsLiouville theorytwo-dimensional gravity3-\(j\) symbolschiral operator- algebraMoore and Seiberg's schemequantum-group symbolsquantum-group-covariant operators

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) 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) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

• The quantum group structure of 2D gravity and minimal models. I
• Solving the strongly coupled 2D gravity. I: Unitary truncation and quantum group structure
• Classical and quantum conformal field theory
• Locality of conformal fields in two dimensions: Exchange algebra on the light-cone
• Etiology of IRF models
• Universal exchange algebra for Bloch waves and Liouville theory
• The quantum strip: Liouville theory for open strings
• Representations of Yangians and multiplicities of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras
• The genus-zero bootstrap of chiral vertex operators in Liouville theory