2000/01/03 by Sheng Li, Yong Zhang, Li, Sheng +3
Mathematics · Physics and Astronomy · #Atomic and Subatomic Physics Research #Black Holes and Theoretical Physics #Combinatorics #Condensed matter physics #Connection (principal bundle) #Disclination #Euclidean geometry #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometry #Gravitation #High Energy Physics - Theory (hep-th) #Magnetic monopole #Mathematical Physics (math-ph) #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Spin (aerodynamics) #Spin connection #Theoretical physics #Topological defect #Topological quantum number #Topology (electrical circuits) #Vortex #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.hep-th/0001007
published in arXiv (Cornell University) (Cornell University) · 9 pages, Revtex
arxiv created 2000/01/03 · openalex publication_date 2000/01/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
By making use of the complete decomposition of SO(3) spin connection, the topological defect in 3-dimensional Euclidean gravity is studied in detail. The topological structure of disclination is given as the combination of a monopole structure and a vortex structure. Furthermore, the Kac-Moody algebra generated by the monopole and vortex is discussed in three dimensional Chern-Simons theory.