Classification of conformal field theories based on Coulomb gases. Application to loop models

DOI10.1016/S0550-3213(01)00409-6zbMath0992.81070arXivhep-th/0105287WikidataQ58082617 ScholiaQ58082617MaRDI QIDQ5949830

Jesper Lykke Jacobsen, Marco Picco, Vladimir S. Dotsenko

Publication date: 4 December 2001

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0105287

zbMATH Keywords

coulomb gasdegenerate representationsgeometric screening charge configurationtwo-flavoured loop modelvertex-operator algebra closure

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Strong interaction, including quantum chromodynamics (81V05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantum equilibrium statistical mechanics (general) (82B10)

Cites Work

• Infinite conformal symmetry in two-dimensional quantum field theory
• Field theory of compact polymers on the square lattice
• Transition from the compact to the dense phase of two-dimensional polymers
• Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models
• Kac-Moody symmetries of critical ground states
• A new exactly solvable case of an O(n)-model on a hexagonal lattice

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