Quantum lie algebra solitons

Alexander Zuevsky

doi:10.13025/26702

Quantum lie algebra solitons

Alexander Zuevsky

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

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Abstract

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.

Original language	English (Ireland)
Journal	Journal of Physics: Conference Series
DOIs	https://doi.org/10.13025/26702 https://doi.org/10.1088/1742-6596/474/1/012036
Publication status	Published - 29 Nov 2013
Externally published	Yes

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10.13025/26702Licence: CC BY-NC-ND
10.1088/1742-6596/474/1/012036

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title = "Quantum lie algebra solitons",

abstract = "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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year = "2013",

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language = "English (Ireland)",

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AB - 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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DO - 10.13025/26702

M3 - Article

SN - 1742-6588

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

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Quantum lie algebra solitons

Abstract

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