The genus-zero bootstrap of chiral vertex operators in Liouville theory

DOI10.1016/0550-3213(94)90620-3zbMath0796.17029OpenAlexW2034727892MaRDI QIDQ5906537

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

Publication date: 27 July 1994

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

Full work available at URL: https://doi.org/10.1016/0550-3213(94)90620-3

zbMATH Keywords

coupling constantsminimal modelsLiouville theorytwo-dimensional gravityMoore and Seiberg's schemequantum-group symbolschiral operator-algebrafusing and braiding matricesVirasoro null vectors

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)

Related Items

Some chiral rings of \(N=2\) discrete superconformal series induced by \(\text{SL}(2)\) degenerate conformal field theories, Negative screenings in Liouville theory, Solving the strongly coupled 2D gravity. II: Fractional-spin operators and topological three-point functions., The many faces of the quantum Liouville exponentials, Status of the operator approach to Liouville theory, Negative screenings in conformal field theory and 2D gravity: The braiding matrix., On the Liouville coupling constants., The multivalued free-field maps of Liouville and Toda gravities, Continuous spins in \(2\)D gravity: Chiral vertex operators and local fields, Quantum exchange algebra and exact operator solution of \(A_2\)-Toda field theory, The quantum group structure of 2D gravity and minimal models. II: The genus-zero chiral bootstrap

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
• On the exchange matrix for WZNW model
• Fusion rules and modular transformations in 2D 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
• Fusion rings and geometry
• The quantum strip: Liouville theory for open strings
• Duality and quantum groups
• The quantum group structure of 2D gravity and minimal models. II: The genus-zero chiral bootstrap
• REMARKS ON THE QUANTUM GROUP STRUCTURE OF THE RATIONAL c<1 CONFORMAL THEORIES
• Geometry of Wess-Zumino-Witten models of conformal field theory