Supersymmetric extension of the integrable box-ball system

Kazuhiro Hikami, Rei Inoue

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We introduce the supersymmetric extension of the box-ball system. By use of the isomorphism of the crystal base for the super Lie algebra, we define the time evolution operator, and give the evolution equation explicitly. We also construct the soliton solutions.

Original languageEnglish
Pages (from-to)4081-4094
Number of pages14
JournalJournal of Physics A: Mathematical and General
Volume33
Issue number22
DOIs
Publication statusPublished - Jun 9 2000

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Crystal Bases
Time Operator
Evolution Operator
Lie Superalgebra
Soliton Solution
Solitons
Algebra
Evolution Equation
boxes
Mathematical operators
balls
Isomorphism
Ball
isomorphism
Crystals
algebra
solitary waves
operators
crystals

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Supersymmetric extension of the integrable box-ball system. / Hikami, Kazuhiro; Inoue, Rei.

In: Journal of Physics A: Mathematical and General, Vol. 33, No. 22, 09.06.2000, p. 4081-4094.

Research output: Contribution to journalArticle

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