Path-integral invariants in abelian Chern-Simons theory

DOI10.1016/j.nuclphysb.2014.03.009zbMath1285.81049arXiv1402.3140OpenAlexW2172217132MaRDI QIDQ2447210

Enore Guadagnini, Frank Thuillier

Publication date: 24 April 2014

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

Full work available at URL: https://arxiv.org/abs/1402.3140

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Symmetry breaking in quantum theory (81R40) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Eta-invariants, Chern-Simons invariants (58J28) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (12)

Schwinger-Dyson functional in Chern-Simons theory ⋮ A reciprocity formula from abelian BF and Turaev-Viro theories ⋮ Flat connections in three-manifolds and classical Chern-Simons invariant ⋮ The U(1) BF functional measure and the Dirac distribution on the space of quantum fields ⋮ Abelian Turaev-Virelizier theorem and U(1) BF surgery formulas ⋮ 3D topological models and Heegaard splitting. I. Partition function ⋮ Abelian topological order on lattice enriched with electromagnetic background ⋮ 3D topological models and Heegaard splitting. II. Pontryagin duality and observables ⋮ Chern-Simons invariants from ensemble averages ⋮ Three-manifold invariant from functional integration ⋮ Five-dimensional fermionic Chern-Simons theory ⋮ Abelian BF theory and Turaev-Viro invariant

Cites Work

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• Topological boundary conditions in abelian Chern-Simons theory
• Invariants for homology 3-spheres
• Abelian Chern-Simons theories in \(2+1\) dimensions
• On reciprocity
• Deligne-Beilinson cohomology and abelian link invariants
• Quantum field theory and the Jones polynomial
• The partition function of a degenerate functional
• A calculus for framed links in \(S^3\)
• The link invariants of the Chern-Simons field theory. New developments in topological quantum field theory
• Invariants of three-manifolds derived from linking matrices of framed links
• An explicit construction of an Abelian topological quantum field theory in dimension 3
• Chern--Simons theory on \(\mathbb R^3\) in axial gauge: a rigorous approach
• Invariants of 3-manifolds via link polynomials and quantum groups
• Quadratic forms on finite groups, and related topics
• Théorie de Hodge. II. (Hodge theory. II)
• Quadratische Formen und Verschlingungsinvarianten von Knoten
• Eta-invariants and anomalies in U(1)-Chern-Simons theory
• Deligne–Beilinson cohomology and Abelian link invariants: Torsion case
• Abelian Chern–Simons theory. I. A topological quantum field theory
• A CONSTRUCTIVE QUANTUM FIELD THEORETIC APPROACH TO CHERN-SIMONS THEORY
• The de Rham-Federer theory of differential characters and character duality
• A RIGOROUS CONSTRUCTION OF ABELIAN CHERN-SIMONS PATH INTEGRALS USING WHITE NOISE ANALYSIS
• Abelian link invariants and homology
• Higher dimensional abelian Chern-Simons theories and their link invariants
• Three-manifold invariant from functional integration
• Quantum invariants of knots and 3-manifolds
• Loop spaces, characteristic classes and geometric quantization
• On abelian quantum invariants of links in 3-manifolds

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