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Nonlinear Sciences > Exactly Solvable and Integrable Systems

arXiv:1811.10137 (nlin)
[Submitted on 26 Nov 2018 (v1), last revised 5 Oct 2019 (this version, v2)]

Title:Drinfeld-Sokolov hierarchies and diagram automorphisms of affine Kac-Moody algebras

Authors:Si-Qi Liu, Chao-Zhong Wu, Youjin Zhang, Xu Zhou
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Abstract:For a diagram automorphism of an affine Kac-Moody algebra such that the folded diagram is still an affine Dynkin diagram, we show that the associated Drinfeld-Sokolov hierarchy also admits an induced automorphism. Then we show how to obtain the Drinfeld-Sokolov hierarchy associated to the affine Kac-Moody algebra that corresponds to the folded Dynkin diagram from the invariant sub-hierarchy of the original Drinfeld-Sokolov hierarchy.
Comments: 48 pages
Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph)
Cite as: arXiv:1811.10137 [nlin.SI]
  (or arXiv:1811.10137v2 [nlin.SI] for this version)
  https://doi.org/10.48550/arXiv.1811.10137
Journal reference: C.M.P. (2019)
Related DOI: https://doi.org/10.1007/s00220-019-03568-4

Submission history

From: Chao-Zhong Wu [view email]
[v1] Mon, 26 Nov 2018 01:28:38 UTC (38 KB)
[v2] Sat, 5 Oct 2019 14:42:22 UTC (41 KB)
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