Topological aspects of spin and statistics in nonlinear sigma models

DOI10.1063/1.531304zbMath0831.57015arXivcond-mat/9208005OpenAlexW3101182770MaRDI QIDQ4837346

William Richter, Michael S. Ody, John C. Baez

Publication date: 20 February 1996

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9208005

zbMATH Keywords

configuration spacespinnonlinear sigma modelsstatisticstopological solitonsArtin braid grouphigher homotopy groupsgroup of framed braidsparticles with internal structurequantum systems under the interchange of identical particlesstructureless point particles

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Braid groups; Artin groups (20F36) Quantum field theory; related classical field theories (81T99) Algebraic topology on manifolds and differential topology (57R19)

Related Items (3)

Higher-dimensional algebra and topological quantum field theory ⋮ Nonabelian statistics for Calogero-Sutherland systems of particles. ⋮ Quantum particles as conceptual entities: a possible explanatory framework for quantum theory

Cites Work

• Configuration spaces of positive and negative particles
• Ribbon graphs and their invariants derived from quantum groups
• Configuration-spaces and iterated loop-spaces
• The braid groups of \(E^ 2\) and \(S^ 2\)
• Theory of braids
• On braid groups

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