Anyonic Realization of the Quantum Affine Lie Superalgebra U_q(A(M,N)^{(1)})
Frappat, L. ; Sciarrino, A. ; Sciuto, S. ; Sorba, P.
HAL, hal-00375848 / Harvested from HAL
Text on HAL
We give a realization of the quantum affine Lie superalgebras U_q(A(M,N))^(1) in terms of anyons defined on a one or two-dimensional lattice, the deformation parameter q being related to the statistical parameter $\nu$ of the anyons by q = exp(i\pi\nu). The construction uses anyons contructed from usual fermionic oscillators and deformed bosonic oscillators. As a byproduct, realization deformed in any sector of the quantum superalgebras U_q(A(M,N)) is obtained.
Publié le : 1997-07-05
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA],  [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] 
@article{hal-00375848,
     author = {Frappat, L. and Sciarrino, A. and Sciuto, S. and Sorba, P.},
     title = {Anyonic Realization of the Quantum Affine Lie Superalgebra U\_q(A(M,N)^{(1)})},
     journal = {HAL},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00375848}
}

Frappat, L.; Sciarrino, A.; Sciuto, S.; Sorba, P. Anyonic Realization of the Quantum Affine Lie Superalgebra U_q(A(M,N)^{(1)}). HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/hal-00375848/