Quantum Lie algebra solitons

21st International Conference on Integrable Systems and Quantum Symmetries

Zuevsky, Alexander^1

School of Mathematics, National University of Ireland, Galway, Ireland^1

关键词: Affine Lie algebra;    Eigenoperators;    Heisenberg;    Lie Algebra;    Quantized universal enveloping algebras;    Quantum soliton;    Subalgebras;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/474/1/012036/pdf
DOI  :  10.1088/1742-6596/474/1/012036

来源: IOP

【 摘 要 】

We construct a special type of quantum soliton solutions for quantized affine Toda models. The elements of the principal Heisenberg subalgebra in the affinised quantum Lie algebra are found. Their eigenoperators inside the quantized universal enveloping algebra for an affine Lie algebra are constructed to generate quantum soliton solutions.