We study flag manifold sigma models that admit a zero-curvature representation. We show that these models can be naturally viewed as interacting (holomorphic and antiholomorphic) βγ-systems. In addition, using the theory of nilpotent orbits of complex Lie groups, we establish a relation of flag manifold sigma models to the principal chiral model.

中文翻译：

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标记歧管Sigma模型和幂等轨道

我们研究允许零曲率表示的旗流形sigma模型。我们证明了这些模型可以自然地视为相互作用的（全同构和反全同构）βγ系统。另外，利用复李群的幂等轨道理论，建立了旗流形sigma模型与主要手性模型的关系。