论文标题
仿射通用线性谎言superalgebra的孤子细胞自动机
Soliton cellular automata for the affine general linear Lie superalgebra
论文作者
论文摘要
Box-Ball System（BBS）是一种细胞自动机，是Korteweg-de Vries方程的超凝集类似物，这是一种用于模拟水波的非线性PDE。 2001年，Hikami和Inoue将BBS概括为一般线性谎言Superalgebra $ \ Mathfrak {Gl}（M | n）$。我们进一步将Hikami-Inoue BBS概括为使用Kirillov-reshetikhin Crystals column tableaux，以$ \ hat {\ Mathfrak {\ Mathfrak {gl}} {（M | n）} $由Kwon and Okado（Arxiv：Arxiv：1804.05456）设计，在这里，我们发现了某些类似的溶液行为。
The box-ball system (BBS) is a cellular automaton that is an ultradiscrete analogue of the Korteweg--de Vries equation, a non-linear PDE used to model water waves. In 2001, Hikami and Inoue generalised the BBS to the general linear Lie superalgebra $\mathfrak{gl}(m|n)$. We further generalise the Hikami--Inoue BBS to column tableaux using the Kirillov--Reshetikhin crystals for $\hat{\mathfrak{gl}}{(m|n)}$ devised by Kwon and Okado (arXiv:1804.05456), where we find similar solitonic behaviour under certain conditions.
