Surfaces associated with sigma models and the sine-Gordon equation

A. M. Grundland; L. Snobl

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arXiv · math/0601302

Surfaces associated with sigma models and the sine-Gordon equation

A. M. Grundland·L. Snobl

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Abstract

We present a unified method of construction of surfaces associated with Grassmannian sigma models, expressed in terms of an orthogonal projector. This description leads to compact formulae for structural equations of two-dimensional surfaces immersed in the su(N) algebra. In the special case of the CP^1 sigma model we obtain constant negative Gaussian curvature surfaces. As a consequence, this leads us to an explicit relation between the CP^1 sigma model and the sine-Gordon equation.

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BibTeX RIS

A. M. Grundland, L. Snobl. 2006-01-12. Surfaces associated with sigma models and the sine-Gordon equation. https://arxiv.org/abs/math/0601302

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