Lattice Virasoro from lattice Kac-Moody

DOI10.1016/0370-2693(93)91572-5zbMath0905.17033arXivsolv-int/9305004OpenAlexW3099161252MaRDI QIDQ688247

Juan-Miguel Gracia

Publication date: 8 December 1993

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

Full work available at URL: https://arxiv.org/abs/solv-int/9305004

zbMATH Keywords

lattice Kac-Moody algebralattice Sugawara constructionquantum Miura transformation

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantum field theory on lattices (81T25)

Related Items (3)

Lattice conformal theories and their integrable perturbations ⋮ Discrete Painlevé equations: coalescences, limits and degeneracies ⋮ Shift operator for nonabelian lattice current algebra

Cites Work

• Central extensions of quantum current groups
• Lattice analogue of the \(W_\infty\) algebra and discrete KP-hierarchy
• Quantum \(\text{sl}_ n\) Toda field theories.
• \(q\)-deformation of the Virasoro algebra and lattice conformal theories
• Lattice analogues of \(W\)-algebras and classical integrable equations

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