Chern-Simons states at genus one

DOI10.1007/BF02099984zbMath0797.57011arXivhep-th/9211003MaRDI QIDQ1317406

Fernando Falceto, Krzysztof Gawędzki

Publication date: 17 April 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9211003

zbMATH Keywords

theta functionsWilson lines\(SU(2)\) Chern-Simons theorySchrödinger picture quantizationVerlinde dimension formula

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Quantum field theory; related classical field theories (81T99) Applications of global differential geometry to the sciences (53C80) Applications of global analysis to structures on manifolds (57R57)

Related Items

Unitarity of the Knizhnik-Zamolodchikov-Bernard connection and the Bethe Ansatz for the elliptic Hitchin systems, Spherical functions on affine Lie groups, Localization for Chern-Simons on circle bundles via loop groups, Quantum Chern-Simons theory out of moduli space path integrals, Elliptic Wess-Zumino-Witten model from elliptic Chern-Simons theory, On the deconfining limit in (2+1)-dimensional Yang-Mills theory, Quantum Chern-Simons theories on cylinders: BV-BFV partition functions, Canonical quantization of the electromagnetic field in arbitrary \(\xi \)-gauge, When does a three-dimensional Chern-Simons-Witten theory have a time reversal symmetry?, Coherent state transforms and vector bundles on elliptic curves., Hitchin systems at low genera, Global aspects of gauged Wess-Zumino-Witten models, Statistical mechanics and black hole thermodynamics, \(R\)-matrix quantization of the elliptic Ruijsenaars-Schneider model, Chern-Simons theory and BCS superconductivity

Cites Work

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• SU(2) Chern-Simons theory at genus zero
• Non-Abelian bosonization in two dimensions
• Fusion rules and modular transformations in 2D conformal field theory
• Classical and quantum conformal field theory
• Geometric quantization of Chern-Simons gauge theory
• Spectra of Wess-Zumino-Witten models with arbitrary simple groups
• Current algebras and Wess-Zumino model in two dimensions
• Quantum field theory and the Jones polynomial
• Moduli of vector bundles on curves with parabolic structures
• Perturbative expansion of Chern-Simons theory with non-compact Gauge group
• Chern-Simons-Witten invariants of lens spaces and torus bundles, and the semiclassical approximation
• Hilbert polynomials of moduli spaces of rank 2 vector bundles. II
• Stable and unitary vector bundles on a compact Riemann surface
• Flat connections and geometric quantization
• Vector Bundles Over an Elliptic Curve
• The Yang-Mills equations over Riemann surfaces
• Recent developments in Chern-Simons theory and link invariants