WAKIMOTO REALIZATION OF THE ELLIPTIC QUANTUM GROUP $U_{q,p}(\widehat{{\rm sl}_N})$
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Publication:3401628
DOI10.1142/S0217751X09046308zbMath1179.81099arXiv0902.1022MaRDI QIDQ3401628
Publication date: 30 January 2010
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0902.1022
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)
Cites Work
- The integrals of motion for the deformed \(W\)-algebra \(W_{q,t}(\widehat{gl_N})\). II: Proof of the commutation relations
- Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
- Elliptic algebra \(U_{q,p} (\widehat {\mathfrak {sl}}_2)\): Drinfeld currents and vertex operators
- Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups
- An elliptic algebra \(U_{q,p}(\widehat{\text{sl}_2})\) and the fusion RSOS model
- Elliptic quantum groups \(E_{\tau,\eta}({\mathfrak sl}_2)\) and quasi-Hopf algebras
- A \(q\)-deformation of Wakimoto modules, primary fields and screening operators
- Free boson realization of \(U_ q(\widehat{sl_ N} )\)
- An elliptic quantum algebra for \(\widehat{\text{sl}}_ 2\)
- Quasi-Hopf deformations of quantum groups
- Quasi-Hopf twistors for elliptic quantum groups
- Elliptic quantum group U_{q\hbox{\scriptsize \bf,\,} p}(\widehat{{\mathfrak {sl}}}_2) and vertex operators
- On the vertex operators of the elliptic quantum algebra Uq,p(sl2̂)k
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