A non-Abelian square root of Abelian vertex operators

DOI10.1063/1.532240zbMath1006.46051arXivhep-th/9705033OpenAlexW3106267934MaRDI QIDQ4260458

Klaus Frieler, Karl-Henning Rehren

Publication date: 3 December 2002

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

Full work available at URL: https://arxiv.org/abs/hep-th/9705033

zbMATH Keywords

Ising modelconformal modelsoperator-valued distributionsquadratic factorization\(p\)-products\(p\)-products of Wightman fieldsAbelian chiral vertex operatorscorrelations along a linelocal fields with chiral SU(2) symmetry at level 2non-Abelian exchange fieldsquantum field theoretical formulation

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Operations with distributions and generalized functions (46F10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Axiomatic quantum field theory; operator algebras (81T05) Applications of functional analysis in quantum physics (46N50)

Related Items

Two-dimensional models as testing ground for principles and concepts of local quantum physics, Phase boundaries in algebraic conformal QFT

Cites Work

• Non-Abelian bosonization in two dimensions
• Space-time fields and exchange fields
• Unitary representations of the Virasoro and super-Virasoro algebras
• Infinite conformal symmetry in two-dimensional quantum field theory
• Current algebras and Wess-Zumino model in two dimensions
• Basic representations of affine Lie algebras and dual resonance models
• Prime field decompositions and infinitely divisible states on Borcher's tensor algebra
• Bounded Bose fields
• The construction of pointlike localized charged fields from conformal Haag-Kastler nets
• Field operators asC ∞ functions in spacelike directions