Anyonic Realization of the Quantum Affine Lie Superalgebra U_q(A(M,N)^{(1)})
q-alg
2009-10-30 v1 High Energy Physics - Theory
Quantum Algebra
Abstract
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 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.
Keywords
Cite
@article{arxiv.q-alg/9609033,
title = {Anyonic Realization of the Quantum Affine Lie Superalgebra U_q(A(M,N)^{(1)})},
author = {L. Frappat and A. Sciarrino and S. Sciuto and P. Sorba},
journal= {arXiv preprint arXiv:q-alg/9609033},
year = {2009}
}
Comments
14p LaTeX Document (should be run twice)