Flat connections and nonlocal conserved quantities in irrational conformal field theory

DOI10.1063/1.531107zbMath0822.53050arXivhep-th/9312050OpenAlexW3100799449MaRDI QIDQ4836806

Niels A. Obers, M. B. Halpern

Publication date: 5 October 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9312050

zbMATH Keywords

Ward identitiesirrational conformal field theorysystem of flat connections

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of differential geometry to physics (53Z05)

Related Items (2)

Irrational conformal field theory ⋮ CONSERVED QUANTITIES IN THE GENERALIZED HEISENBERG MAGNET (GHM) MODEL

Cites Work

• Non-Abelian bosonization in two dimensions
• Direct approach to operator conformal constructions: From fermions to primary fields
• Virasoro algebras and coset space models
• Current algebras and Wess-Zumino model in two dimensions
• WARD IDENTITIES FOR AFFINE-VIRASORO CORRELATORS
• SOLVING THE WARD IDENTITIES OF IRRATIONAL CONFORMAL FIELD THEORY
• QUASI-EXACTLY-SOLVABLE QUANTAL PROBLEMS: ONE-DIMENSIONAL ANALOGUE OF RATIONAL CONFORMAL FIELD THEORIES
• THE LIE h-INVARIANT CONFORMAL FIELD THEORIES AND THE LIE h-INVARIANT GRAPHS
• Lie algebras associated with generalized Cartan matrices

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