Kontsevich-Witten model from \(2+1\) gravity: new exact combinatorial solution

DOI10.1016/S0393-0440(02)00003-7zbMath1146.83306arXivhep-th/0111259MaRDI QIDQ1611773

R. Smith

Publication date: 28 August 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0111259

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Analogues of general relativity in lower dimensions (83C80)

Related Items (6)

NEW MODELS FOR VENEZIANO AMPLITUDES: COMBINATORIAL, SYMPLECTIC AND SUPERSYMMETRIC ASPECTS ⋮ New strings for old Veneziano amplitudes. II: group-theoretic treatment ⋮ New strings for old Veneziano amplitudes. III: Symplectic treatment ⋮ NEW STRING AMPLITUDES FROM OLD FERMAT (HYPER)SURFACES ⋮ VENEZIANO AMPLITUDES, SPIN CHAINS, AND STRING MODELS ⋮ New strings for old Veneziano amplitudes. I: Analytical treatment

Cites Work

• Renormalization and 3-Manifolds Which Fiber over the Circle
• On the Imbedding of V-Manifolds in Projective Space
• Topology
• Einstein-Weyl geometry, the dKP equation and twistor theory
• Statistical mechanics of \(2+1\) gravity from Riemann zeta function and Alexander polynomial: Exact results
• \(\text{Diff}(S^1)\) and Adler-Gelfand-Dikii spaces and integrable systems
• An explicit upper bound for Weil-Petersson volumes of the moduli spaces of punctured Riemann surfaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonperturbative model of Liouville gravity
• Higher Weil-Petersson volumes of moduli spaces of stable \(n\)-pointed curves
• On the Kähler form of the moduli space of once punctured tori
• The hyperbolic metric and the geometry of the universal curve
• Diff(S\({}^ 1)\) and the Teichmüller spaces
• Meander, folding, and arch statistics
• 3-dimensional Lorentz space-forms and Seifert fiber spaces
• On the homology of the moduli space of stable curves
• Walks, walls, wetting, and melting
• The decorated Teichmüller space of punctured surfaces
• Sur un groupe remarquable de difféomorphismes du cercle. (On a remarkable group of the diffeomorphisms of the circle)
• Bethe Ansatz and the generalized Yang-Baxter equations
• Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). 2nd ed
• Quantum field theory techniques in graphical enumeration
• Fusion rings and geometry
• Intersection theory on the moduli space of curves and the matrix Airy function
• Weil-Petersson volumes
• Enumeration of skew Ferrers diagrams and basic Bessel functions
• On pairs of non-crossing generalized Dyck paths
• Chern classes of the Grassmannians and Schubert calculus
• Quantum chaotic dynamics and random polynomials
• The boundary of the Gieseking tree in hyperbolic three-space
• Spaces of RNA secondary structures
• Level-spacing distributions and the Airy kernel
• Algebraic languages and polyominoes enumeration
• Introductory notes on Richard Thompson's groups
• Quantum integrable models and discrete classical Hirota equations
• Topological methods in hydrodynamics
• On a subgroup of the Grothendieck-Teichmüller group acting on the tower of profinite Teichmüller modular groups.
• Boundary conformal field theories, limit sets of Kleinian groups and holography
• Ribbon graphs, quadratic differentials on Riemann surfaces, and algebraic curves defined over \(\overline{\mathbb Q}\)
• The construction of Frobenius manifolds from KP tau-functions
• Hyperbolic structures on knot complements
• The Weil-Petersson and Thurston symplectic forms
• The Yang-Baxter equation, symmetric functions, and Schubert polynomials
• The spectrum edge of random matrix ensembles.
• Frobenius manifolds and Virasoro constraints
• Use of meanders and train tracks for description of defects and textures in liquid crystals and \(2+1\) gravity
• Use of quadratic differentials for description of defects and textures in liquid crystals and \(2+1\) gravity
• Invertible cohomological field theories and Weil-Petersson volumes
• Noncrossing partitions
• How covariant closed string theory solves a minimal area problem
• Universal constructions in Teichmüller theory
• The irreducibility of the space of curves of a given genus
• Characteristic classes of Hermitian manifolds
• Quantum Geometry
• Schubert Calculus
• On the Relation of S -Functions to Schubert Varieties
• Statistical Theory of the Energy Levels of Complex Systems. I
• Exact solution of the lock step model of vicious walkers
• On Obtaining a Positive Line Bundle from the Weil-Petersson Class
• Rotation Distance, Triangulations, and Hyperbolic Geometry
• On the geometry and dynamics of diffeomorphisms of surfaces
• The geometry of the KdV equation
• Integrable Models
• How many zeros of a random polynomial are real?
• Variétés anti-de Sitter de dimension 3 possédant un champ de Killing non trivial
• Mapping Class Groups and Moduli Spaces of Curves
• Introduction to Statistical Methods in Modern Genetics
• The index theorem for minimal surfaces of higher genus
• Cellular decompositions of compactified moduli spaces of pointed curves
• Time and time functions in parametrized non-relativistic quantum mechanics

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