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SL(2) spin chain and spinning strings on AdS_5xS^5

S. Bellucci·P. -Y. Casteill·J. F. Morales·C. Sochichiu
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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_5xS^5. The spinning strings are identified with semiclassical coherent states built out of SL(2,R) spin chain states.

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S. Bellucci, P. -Y. Casteill, J. F. Morales, C. Sochichiu. 2004-09-09. SL(2) spin chain and spinning strings on AdS_5xS^5. https://doi.org/10.1016/j.nuclphysb.2004.11.020

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