Continuous spins in \(2\)D gravity: Chiral vertex operators and local fields

DOI10.1016/0550-3213(94)90107-4zbMath1020.81841arXivhep-th/9405136OpenAlexW2086168808MaRDI QIDQ1571372

Jens Schnittger, Jean-Loup Gervais

Publication date: 10 July 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9405136

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) 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

Negative screenings in Liouville theory, Quantum group structure and local fields in the algebraic approach to 2D gravity, Solving the strongly coupled 2D gravity. III: String susceptibility and topological \(N\)-point functions, Operator coproduct-realization of quantum group transformations in two-dimensional gravity. I, Correlation functions and vertex operators of Liouville theory, A note on quantum Liouville theory via the quantum group. An approach to strong coupling Liouville theory, Status of the operator approach to Liouville theory, Quantum group generators in conformal field theory, Negative screenings in conformal field theory and 2D gravity: The braiding matrix., On the Liouville coupling constants., Group theory approach to the \(\tau\)-function and its quantization, Quantum exchange algebra and exact operator solution of \(A_2\)-Toda field theory

Cites Work

• Nonperturbative weak-coupling analysis of the quantum Liouville field theory
• The quantum group structure of 2D gravity and minimal models. I
• Solving the strongly coupled 2D gravity. I: Unitary truncation and quantum group structure
• The quantum strip: Liouville theory for open strings
• The quantum group structure of 2D gravity and minimal models. II: The genus-zero chiral bootstrap
• Solving the strongly coupled 2D gravity. II: Fractional-spin operators and topological three-point functions.
• Liouville field theory: IST and Poisson bracket structure
• The genus-zero bootstrap of chiral vertex operators in Liouville theory