Kac-Moody symmetries of critical ground states

DOI10.1016/0550-3213(96)00064-8zbMath1004.82501arXivcond-mat/9511102OpenAlexW2036899537MaRDI QIDQ1910598

Jané Kondev, Christopher L. Henley

Publication date: 19 March 1996

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9511102

zbMATH Keywords

conformal field theoryCoulomb gassix vertex modelchiral symmetry algebraFrenkel Kac Segal vertex operatorlevel one Kac Moody algebrasrough interface model

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Continuum limits in quantum field theory (81T27) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

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• Non-Abelian bosonization in two dimensions
• Unitary representations of some infinite dimensional groups
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• Exact Results for Hamiltonian Walks from the Solution of the Fully Packed Loop Model on the Honeycomb Lattice

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