English

The geometry of antiferromagnetic spin chains

High Energy Physics - Theory 2013-07-23 v1 Strongly Correlated Electrons Mathematical Physics math.MP

Abstract

We construct spin chains that describe relativistic sigma-models in the continuum limit, using symplectic geometry as a main tool. The target space can be an arbitrary complex flag manifold, and we find universal expressions for the metric and theta-term.

Cite

@article{arxiv.1206.2777,
  title  = {The geometry of antiferromagnetic spin chains},
  author = {Dmitri Bykov},
  journal= {arXiv preprint arXiv:1206.2777},
  year   = {2013}
}

Comments

31 pages, 3 figures

R2 v1 2026-06-21T21:18:32.701Z