Double Elliptic Systems: Problems and Perspectives

Double Elliptic Systems: Problems and Perspectives
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双椭圆系统:问题和观点

DOI:
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发表时间:
2000
期刊:
影响因子:
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通讯作者:
A. Morozov
A. Morozov
中科院分区:
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文献类型:
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作者:
A. Mironov;A. Morozov

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本次演讲提出了一系列与双椭圆 (Dell) 可积系统相关的问题,该系统的椭圆依赖于动量和坐标。正如预期的那样,在 Seiberg-Witten 理论的框架中,最近发现的 2 粒子戴尔哈密顿量的显式自对偶族提供了一个微扰周期矩阵,它是(动量空间)theta 函数之比的对数。
This talk presents a list of problems related to the double-elliptic (Dell) integrable systems with elliptic dependence on both momenta and coordinates. As expected, in the framework of Seiberg-Witten theory the recently discovered explicit self-dual family of 2-particle Dell Hamiltonians provides a perturbative period matrix which is a logarithm of the ratio of the (momentum-space) theta-functions.