Anyonic Realization of the Quantum Affine Lie Superalgebra U_q(A(M,N)^{(1)})
arXiv:q-alg/9609033 · doi:10.1088/0305-4470/30/3/015
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(iπν). 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.
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