Flat connections and nonlocal conserved quantities in irrational conformal field theory

Flat connections and nonlocal conserved quantities in irrational conformal field theory

Irrational conformal field theory (ICFT) includes rational conformal field theory as a small subspace, and the affine‐Virasoro Ward identities describe the biconformal correlators of ICFT. The Ward identities are reformulated as an equivalent linear partial differential system with flat connections...

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Veröffentlicht in:Journal of mathematical physics 1995-03, Vol.36 (3), p.1080-1110
Hauptverfasser: Halpern, M. B., Obers, N. A.
Format: Artikel
Sprache:eng
Schlagworte:
662110 > General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
ALGEBRA
COMPOSITE MODELS
CONFORMAL INVARIANCE
CONSERVATION LAWS
CORRELATION FUNCTIONS
CURRENT ALGEBRA
EXTENDED PARTICLE MODEL
FUNCTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICS
Pa
PARTICLE MODELS
Particle Systematics > Unified Theories & Models > (1992-)
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUARK MODEL
STRING MODELS
SYMMETRY GROUPS 662210 > Specific Theories & Interaction Models
WARD IDENTITY
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Beschreibung
Zusammenfassung:Irrational conformal field theory (ICFT) includes rational conformal field theory as a small subspace, and the affine‐Virasoro Ward identities describe the biconformal correlators of ICFT. The Ward identities are reformulated as an equivalent linear partial differential system with flat connections and new nonlocal conserved quantities. As examples of the formulation, the system of flat connections is solved for the coset correlators, the correlators of the affine‐Sugawara nests, and the high‐level n‐point correlators of ICFT.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.531107