Direct approach to operator conformal constructions: From fermions to primary fields

DOI10.1016/0003-4916(89)90273-XzbMath0698.22017MaRDI QIDQ912225

M. B. Halpern

Publication date: 1989

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

zbMATH Keywords

currentsprimary fieldssimply-lacedaffine-conformal highest-weight statesbosonized fermionic pretensorsconformal-weightscoset constructionsquantum-irreducible representations

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie (super)algebras (17B65) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (13)

SYSTEMATIC APPROACH TO CYCLIC ORBIFOLDS ⋮ NEW SPIN-2 GAUGED SIGMA MODELS AND GENERAL CONFORMAL FIELD THEORY ⋮ Irrational conformal field theory ⋮ TFT construction of RCFT correlators. III: Simple currents ⋮ A universal conformal field theory approach to the chiral persistent currents in the mesoscopic fractional quantum Hall states ⋮ Flat connections and nonlocal conserved quantities in irrational conformal field theory ⋮ Generalized graph theory on Lie g and applications in conformal field theory ⋮ Magic bases, metric Ansätze, and generalized graph theories in the Virasoro master equation ⋮ STRESS–TENSOR FOR PARAFERMIONS FROM WINDING SUBALGEBRAS OF AFFINE ALGEBRAS ⋮ Open strings in simple current orbifolds ⋮ Graph theory, \(SO(n)\) current algebra and the Virasoro master equation ⋮ Universal simple current vertex operators ⋮ Factored coset models: A unifying approach to different bosonization schemes

Cites Work

• Unnamed Item
• Unnamed Item
• Infinite dimensional Lie algebras. An introduction
• Unitary representations of the Virasoro and super-Virasoro algebras
• Vertex operators for non-simply-laced algebras
• Virasoro algebras and coset space models
• A construction of the \(c<1\) modular invariant partition functions
• Current algebras and Wess-Zumino model in two dimensions
• Determinant bundles and Virasoro algebras
• Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory
• Unitary representations of some infinite dimensional groups
• Construction of the affine Lie algebra \(A^{(1)}_1\)
• Structure of the Standard Modules for the Affine Lie Algebra 𝐴⁽¹⁾₁
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• Lie algebras associated with generalized Cartan matrices

This page was built for publication: Direct approach to operator conformal constructions: From fermions to primary fields