  In the present paper we revisit the so-called Haldane limit, i.e. a
particular continuum limit, which leads from a spin chain to a sigma model. We
use the coherent state formulation of the path integral to reduce the problem
to a semiclassical one, which leads us to the observation that the Haldane
limit is closely related to a Lagrangian embedding into the classical phase
space of the spin chain. Using this property, we find a spin chain whose limit
produces a relativistic sigma model with target space the manifold of complete
flags U(N)/U(1)^N. We discuss possible other future applications of
Lagrangian/isotropic embeddings in this context.
