The elliptic quantum algebra and its vertex operators
arXiv:0812.1147 · doi:10.1088/1751-8113/42/42/425202
Abstract
We construct a realization of the elliptic quantum algebra for any given level in terms of free boson fields and their twisted partners. It can be considered as the elliptic deformation of the Wakimoto realization of the quantum affine algebra . We also construct a family of screening currents, which commute with the currents of up to total q-differences. And we give explicit twisted expressions for the type and the type vertex operators of by twisting the known results of the type vertex operators of the quantum affine algebra and the new results of the type vertex operators of we obtained in this paper.
arXiv comment28 pages
References in corpus (17)
- Correlation Functions of the XXZ model for
- Diagonalization of the XXZ Hamiltonian by Vertex Operators
- Free Field Representation For Massive Integrable Models
- Multi-point Local Height Probabilities in the Integrable RSOS Model
- Elliptic quantum groups and quasi-Hopf algebras
- Elliptic algebra U_{q,p}(^sl_2): Drinfeld currents and vertex operators
- Free Boson Realization of
- An Elliptic Algebra and the Fusion RSOS Model
- The elliptic algebra U_{q,p}(\hat{sl}_N) and the Drinfeld realization of the elliptic quantum group B_{q,λ}(\hat{sl}_N)
- Wakimoto realizations of current algebras: an explicit construction
- A central extension of $\cD Y_{\hbar}(\gtgl_2)$ and its vertex representations
- Free Field Representation of Quantum Affine Algebra U_q(\hat{sl}_2)
- hbar-(Yangian) Deformation of Miura Map and Virasoro Algebra
- On explicit free field realizations of current algebras
- Explicit description of twisted Wakimoto realizations of affine Lie algebras
- On the Vertex Operators of the Elliptic Quantum Algebra }
- Free boson representation of DY_{\hbar}(gl_N)_k