A Lie algebra for closed strings, spin chains, and gauge theories

DOI10.1063/1.532566zbMath0927.17020arXivhep-th/9806002OpenAlexW2085595457WikidataQ115328392 ScholiaQ115328392MaRDI QIDQ4701479

C.-W. H. Lee, Sarada G. Rajeev

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/hep-th/9806002

zbMATH Keywords

Ising modelquantum dynamical systemschiral Potts model\(XYZ\) modelcyclix algebraDolan-Grady conditionextension of the Virasoro algebraheterix algebralarge-\(N\) gauge field theoriesM(atrix)-theory of stringsquantum spin chain systems

Mathematics Subject Classification ID

Dynamical systems in solid mechanics (37N15) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

• Two-dimensional QCD coupled to adjoint matter and string theory
• MATRIX MODEL APPROACH TO d>2 NONCRITICAL SUPERSTRINGS
• QUANTUM HADRODYNAMICS IN TWO DIMENSIONS
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• Onsager’s algebra and the Dolan–Grady condition in the non-self-dual case
• Poisson brackets of Wilson loops and derivations of free algebras