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arxiv: 1206.2777 · v1 · pith:4ZNDOD67new · submitted 2012-06-13 · ✦ hep-th · cond-mat.str-el· math-ph· math.MP

The geometry of antiferromagnetic spin chains

classification ✦ hep-th cond-mat.str-elmath-phmath.MP
keywords chainsgeometryspinantiferromagneticarbitrarycomplexconstructcontinuum
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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.

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