SL(2) spin chain and spinning strings on AdS5xS5
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 AdS5xS5. The spinning strings are identified with semiclassical coherent states built out of SL(2,R) spin chain states.
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