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arXiv · 2502.20397

Mechanics on flag manifolds

Andrew Kuzovchikov
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Abstract

We study the connection between $\mathrm{SU}(n)$ spin chains and one-dimensional sigma models on flag manifolds. Using this connection, we calculate the spectrum of the Laplace-Beltrami operator and geodesics for a particular class of metrics on $\mathbb{CP}^1$ and $\mathcal{F}_3$, which is a manifold of complete flags in $\mathbb{C}^3$.

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Andrew Kuzovchikov. 2025-02-27. Mechanics on flag manifolds. https://arxiv.org/abs/2502.20397

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