The many faces of the quantum Liouville exponentials

DOI10.1016/0550-3213(94)90627-0zbMath1007.81520arXivhep-th/9308134OpenAlexW2118975895MaRDI QIDQ1967598

Jean-Loup Gervais, Jens Schnittger

Publication date: 6 March 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9308134

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) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (10)

Quantum Liouville field theory as solution of a flow equation ⋮ Classical Liouville action on the sphere with three hyperbolic singularities ⋮ Operator coproduct-realization of quantum group transformations in two-dimensional gravity. I ⋮ QUANTUM VERTEX OPERATORS FOR THE SINE–GORDON MODEL ⋮ Solving the strongly coupled 2D gravity. II: Fractional-spin operators and topological three-point functions. ⋮ Non-critical strings at high energy ⋮ Quantum exchange algebra and locality in Liouville theory ⋮ Zero modes for the quantum Liouville model ⋮ The multivalued free-field maps of Liouville and Toda gravities ⋮ \(D=11\) supermembrane instantons, \(W_ \infty\) strings and the super Toda molecule.

Cites Work

• Gravity-matter couplings from Liouville theory
• Soliton equations and fundamental representations of \(A_{21}^ 2\)
• Nonperturbative weak-coupling analysis of the quantum Liouville field theory
• Two-dimensional exactly and completely integrable dynamical systems
• 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
• Classical \(A_ n\)-W-geometry
• Exactly and completely integrable nonlinear dynamical systems
• ON THE EXACT OPERATOR FORMALISM OF TWO-DIMENSIONAL LIOUVILLE QUANTUM GRAVITY IN MINKOWSKI SPACE-TIME
• The genus-zero bootstrap of chiral vertex operators in Liouville theory

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