Theory of superselection sectors for generalized Ising models

DOI10.1007/BF00750146zbMath0824.46092arXivhep-th/9311003OpenAlexW2150589208MaRDI QIDQ1330294

J. R. Reyes Martínez

Publication date: 13 November 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9311003

zbMATH Keywords

superselection sectorsgeneralized Ising models

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of functional analysis in quantum physics (46N50)

Cites Work

• Quantum groups, quantum categories and quantum field theory
• Conformal field algebras with quantum symmetry from the theory of superselection sectors
• Level 1 WZW superselection sectors
• Superselection sectors with braid group statistics and exchange algebras
• SUPERSELECTION SECTORS WITH BRAID GROUP STATISTICS AND EXCHANGE ALGEBRAS II: GEOMETRIC ASPECTS AND CONFORMAL COVARIANCE

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