Abstract
We derive a spin chain Hamiltonian from a fast spinning string in the marginally deformed $\mathrm{Ad}{\mathrm{S}}_{3}\ifmmode\times\else\texttimes\fi{}{S}^{3}$. This corresponds to a closed trajectory swept out by the $SU(2)$ or $SL(2)$ spin vector on the surface of one-parameter deformed two-sphere or hyperboloid in the background of an anisotropic magnetic field interaction. In the limit of small deformation, a class of general Landau-Lifshitz equation with a nontrivial anisotropic matrix can be derived.
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