Abstract
We derive the coherent state representation of the integrable spin chain Hamiltonian with symmetry group SL ( 2 , R ) . By passing to the continuum limit, we find a spin chain sigma model describing a string moving on the hyperboloid SL ( 2 , R ) / U ( 1 ) . The same sigma model is found by considering strings rotating with large angular momentum in AdS 5 × S 5 . The spinning strings are identified with semiclassical coherent states built out of SL ( 2 , R ) spin chain states.
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