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arXiv 1805.03034hep-thmath-phmath.MP
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经典西格玛模型的新边界单值矩阵

New boundary monodromy matrices for classical sigma models

Tamas Gombor

备注：
36 pages, the Poisson structure is developed
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摘要：

无边界的2D主模型具有$G\times G$对称性。已知的可积边界具有$H\times H$或$G_{D}$对称性，其中$H$是$G$的这样一个子群，其中$G/H$是对称空间，而$G_{D}$是$G\times G$的对角子群。这些边界条件有一个共同的功能：：它们不包含自由参数。我们发现了新的可积边界条件，其剩余的对称群是$G\times H$或$H\times G$，它们包含一个自由参数。并给出了相应的边界单值矩阵。

英文摘要：

The 2d principal models without boundaries have $G\times G$ symmetry. The already known integrable boundaries have either $H\times H$ or $G_{D}$ symmetries, where $H$ is such a subgroup of $G$ for which $G/H$ is a symmetric space while $G_{D}$ is the diagonal subgroup of $G\times G$. These boundary conditions have a common feature: they do not contain free parameters. We have found new integrable boundary conditions for which the remaining symmetry groups are either $G\times H$ or $H\times G$ and they contain one free parameter. The related boundary monodromy matrices are also described.

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