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arXiv · 1805.03034

New boundary monodromy matrices for classical sigma models

Tamas Gombor
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Abstract

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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Tamas Gombor. 2018-05-08. New boundary monodromy matrices for classical sigma models. https://doi.org/10.1016/j.nuclphysb.2020.114949

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