Free Field Approach to the Dilute A_L Models

Abstract

We construct a free field realization of vertex operators of the dilute A_L models along with the Felder complex. For L=3, we also study an E_8 structure in terms of the deformed Virasoro currents.

(AMS-)LaTeX(2e), 43pages

References in corpus (6)

• Deformations of W-algebras associated to simple Lie algebras
• Angular quantization and form-factors in massive integrable models
• Elliptic algebra U_{q,p}(^sl_2): Drinfeld currents and vertex operators
• An Elliptic Algebra $U_{q,p}(\widehat{s{l}_2})$ and the Fusion RSOS Model
• Algebra of screening operators for the deformed $W_n$ algebra
• Quantum Jacobi-Trudi Formula and $E_8$ Structure in the Ising Model in a Field

Cited by in corpus (12)

• Quadratic relations of the deformed $W$-superalgebra ${\mathcal{W}}_{q,t}(\mathfrak{sl}(2|1))$
• Quadratic relations of the deformed $W$-superalgebra ${\mathcal{W}}_{q,t}(A(M,N))$
• Vertex operators for quantum groups and application to integrable systems
• Comments on the Deformed W_N Algebra
• The Drinfeld Realization of the Elliptic Quantum Group B_{q,lambda}(A_2^(2))
• From Holonomy of the Ising Model Form Factors to n-Fold Integrals and the Theory of Elliptic Curve
• The Elliptic Algebra U_{q,p}(sl_N^) and the Deformation of W_N Algebra
• The inversion relation and the dilute A_{3,4,6} eigenspectrum
• The dilute A_L models and the Phi_{1,2} perturbation of unitary minimal CFTs
• The dilute A${}_4$ model, the E${}_7$ mass spectrum and the tricritical Ising model
• Commutation relations of vertex operators for $U_q(\widehat{sl}(M|N))$
• Quantum Knizhnik-Zamolodchikov equation associated with $U_q(A_2^{(2)})$ for $|q|=1$