Anyonic Realization of the Quantum Affine Lie Algebra U_q(A_N)
Frappat, L. ; Sciarrino, A. ; Sciuto, S. ; Sorba, P.
HAL, hal-00350828 / Harvested from HAL
Text on HAL
We give a realization of quantum affine Lie algebra $U_q(\hat A_{N-1})$ in terms of anyons defined on a two-dimensional lattice, the deformation parameter $q$ being related to the statistical parameter $\nu$ of the anyons by $q = e^{i\pi\nu}$. In the limit of the deformation parameter going to one we recover the Feingold-Frenkel fermionic construction of undeformed affine Lie algebra.
Publié le : 1996-07-05
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA],  [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] 
@article{hal-00350828,
     author = {Frappat, L. and Sciarrino, A. and Sciuto, S. and Sorba, P.},
     title = {Anyonic Realization of the Quantum Affine Lie Algebra U\_q(A\_N)},
     journal = {HAL},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00350828}
}

Frappat, L.; Sciarrino, A.; Sciuto, S.; Sorba, P. Anyonic Realization of the Quantum Affine Lie Algebra U_q(A_N). HAL, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/hal-00350828/