dorsal/arxiv
View SchemaAnyonic Realization of the Quantum Affine Lie Superalgebra U_q(A(M,N)^{(1)})
| Authors | L. Frappat, A. Sciarrino, S. Sciuto, P. Sorba |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9609033 |
| URL | https://arxiv.org/abs/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 $\nu$ 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.
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"abstract": "We give a realization of the quantum affine Lie superalgebras U_q(A(M,N))^(1)\nin terms of anyons defined on a one or two-dimensional lattice, the deformation\nparameter q being related to the statistical parameter $\\nu$ of the anyons by q\n= exp(i\\pi\\nu). The construction uses anyons contructed from usual fermionic\noscillators and deformed bosonic oscillators. As a byproduct, realization\ndeformed in any sector of the quantum superalgebras U_q(A(M,N)) is obtained.",
"arxiv_id": "q-alg/9609033",
"authors": [
"L. Frappat",
"A. Sciarrino",
"S. Sciuto",
"P. Sorba"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1088/0305-4470/30/3/015",
"title": "Anyonic Realization of the Quantum Affine Lie Superalgebra U_q(A(M,N)^{(1)})",
"url": "https://arxiv.org/abs/q-alg/9609033"
},
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