Alexander Zuevsky
Abstract
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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.
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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.
Key concepts: Quantum affine algebra, Subalgebra, Affine Lie algebra, Algebra over a field, Universal enveloping algebra, Graded Lie algebra, Lie conformal algebra, Lie algebra