Free field approach to the dilute AL models

DOI10.1063/1.532927zbMath0969.81024arXivmath/9902150OpenAlexW2123897059MaRDI QIDQ4270383

Jun'ichi Shiraishi, Michio Jimbo, Yuji Hara, Hitoshi Konno, Satoru Odake

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/math/9902150

zbMATH Keywords

bosonizationvertex operator approach\(T\)-systemKac determinant formulabootstrap of the ZF operatorsdeformed \(W\) currentsdeformed Virasoro currentelliptic currentsFelder-type BRST complexfusion propertiesnilpotency of the BRST chargesoperator product expansion formulas

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) 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) Many-body theory; quantum Hall effect (81V70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

The diluteA_Lmodels and the Φ_1,2perturbation of unitary minimal CFTs, Commutation relations of vertex operators for Uq(sl^(M|N)), COMMENTS ON THE DEFORMED W_N ALGEBRA, The Drinfeld realization of the elliptic quantum group Bq,λ(A2(2)), Form factors in the Bullough-Dodd-related models: the Ising model in a magnetic field, Quadratic relations of the deformed W-superalgebra Wq,t(sl(2|1)), THE QUANTUM KNIZHNIK–ZAMOLODCHIKOV EQUATION ASSOCIATED WITH $U_q(A_2^{(2)})$ FOR |q| = 1, Quadratic relations of the deformed W-superalgebra Wq,tA(M,N)

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