Topological BF theories in 3 and 4 dimensions

DOI10.1063/1.531238zbMath0848.57005arXivhep-th/9505027OpenAlexW2067983691MaRDI QIDQ4871934

Jürg Fröhlich, Mairizio Martellini, Paolo Cotta-Ramusino, Alberto Sergio Cattaneo

Publication date: 24 October 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9505027

zbMATH Keywords

knotslinksKontsevich integrals2-knotsAlexander polynomialsHOMFLY polynomials

Mathematics Subject Classification ID

Related Items (34)

Three-dimensional de Sitter horizon thermodynamics ⋮ Cabled Wilson loops in BF theories ⋮ The BF formalism for QCD and quark confinement ⋮ DIMENSION OF THE MODULI SPACE AND HAMILTONIAN ANALYSIS OF BF FIELD THEORIES ⋮ Four-dimensional \(BF\) theory as a topological quantum field theory ⋮ Discrete canonical analysis of three-dimensional gravity with cosmological constant ⋮ A note on abelian arithmetic BF‐theory ⋮ One-dimensional Chern-Simons theory ⋮ Ruelle zeta function from field theory ⋮ Loop quantum gravity à la Aharonov-Bohm ⋮ The geometry of graded cotangent bundles ⋮ Perturbative BF theory ⋮ Combinatorial formulas for Vassiliev invariants from Chern–Simons gauge theory ⋮ The century of the incomplete revolution: Searching for general relativistic quantum field theory ⋮ Covariant momentum map for non-Abelian topological BF field theory ⋮ On simplicial \(BF\) theory ⋮ Quantum BV-manifolds and quasi-Lie bialgebras ⋮ 4-dimensional BF gravity on the lattice ⋮ The Wilson loop observables of Chern-Simons theory on \({\mathbb{R}}^3\) in axial gauge ⋮ Integrable 3D statistical models on six-valent graphs ⋮ Topological symmetry of forms, \(N=1\) supersymmetry and S-duality on special manifolds ⋮ Abelian BF theory and Turaev-Viro invariant ⋮ Kontsevich integral for Vassiliev invariants from Chern–Simons perturbation theory in the light-cone gauge ⋮ Non-Abelian anyons and topological quantum computation ⋮ 4-d Chern-Simons theory: higher gauge symmetry and holographic aspects ⋮ Towards holography in the BV-BFV setting ⋮ COVARIANT LAGRANGIAN FORMULATION OF CHERN–SIMONS AND BF THEORIES ⋮ Cosmological Plebanski theory ⋮ Gauge-invariant operators for singular knots in Chern-Simons gauge theory ⋮ From simplicial Chern-Simons theory to the shadow invariant I ⋮ From simplicial Chern-Simons theory to the shadow invariant II ⋮ Configuration spaces and Vassiliev classes in any dimension ⋮ A new Hamiltonian for the topological BF phase with spinor networks ⋮ On Chern-Simons theory with an inhomogeneous gauge group and BF theory knot invariants

Cites Work

• A polynomial invariant of oriented links
• Topological quantum field theory
• Quantum field theory and the Jones polynomial
• The Conway polynomial
• State sum invariants of 3-manifolds and quantum \(6j\)-symbols
• The partition function of degenerate quadratic functional and Ray-Singer invariants
• Three-dimensional \(BF\) theories and the Alexander-Conway invariant of knots
• The Chern-Simons theory and knot polynomials
• Invariants of 3-manifolds via link polynomials and quantum groups
• A polynomial invariant for knots via von Neumann algebras
• A new polynomial invariant of knots and links
• Iterated path integrals
• On the self-linking of knots
• Weaving a classical metric with quantum threads

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