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Mechanics on flag manifolds

Published 27 Feb 2025 in hep-th, math-ph, math.DG, and math.MP | (2502.20397v1)

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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Authors (1)

  1. Andrew Kuzovchikov 

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