A discrete integrable hierarchy related to the supersymmetric eigenvalue model

A discrete integrable hierarchy related to the supersymmetric eigenvalue model
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DOI:
10.1088/0305-4470/27/12/022
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发表时间:
1994-06
期刊:
Journal of Physics A
影响因子:
--
通讯作者:
I. N. McArthur
I. N. McArthur
中科院分区:
其他
文献类型:
--
作者:
I. N. McArthur

文献摘要

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超对称本征值模型被提出来作为矩阵模型的二维超引力的模拟。双标度极限表现出与Korteweg-de弗里斯体系相关的可积费米子体系。在本文中,这种可积结构的离散模拟,相关的户田格,被发现在超对称本征值模型。
The supersymmetric eigenvalue model has been proposed as the analogue for two-dimensional supergravity of the matrix model. The double-scaling limit exhibits an integrable fermionic hierarchy which is related to the Korteweg-de Vries hierarchy. In this paper, a discrete analogue of this integrable structure, related to the Toda lattice, is found in the supersymmetric eigenvalue model.