Level 1 WZW superselection sectors

DOI10.1007/BF02097016zbMath0754.17026MaRDI QIDQ1198813

Jürgen Fuchs, Alexander Ch. Ganchev, Péter Vecsernyés

Publication date: 16 January 1993

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

zbMATH Keywords

superselection sectorsaffine Lie algebraWZW modelsMajorana algebra

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

Theory of superselection sectors for generalized Ising models, Simple WZW superselection sectors, Construction of field algebras with quantum symmetry from local observables, The physics superselection principle in vertex operator algebra theory, Localized endomorphisms of the chiral Ising model, Operator algebras and conformal field theory, Quantum symmetry and braid group statistics in \(G\)-spin models

Cites Work

• Conformal field algebras with quantum symmetry from the theory of superselection sectors
• Infinite dimensional Lie algebras. An introduction
• Space-time fields and exchange fields
• Symmetric spaces, Sugawara's energy momentum tensor in two dimensions and free fermions.
• Current algebras and Wess-Zumino model in two dimensions
• Simple WZW currents
• Superselection sectors with braid group statistics and exchange algebras
• Local rings and the connection of spin with statistics
• HAAG DUALITY IN CONFORMAL QUANTUM FIELD THEORY
• Postulates of Quantum Field Theory
• An Algebraic Approach to Quantum Field Theory