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

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

2004-09-07

arxiv.org/abs/hep-th/0409086v2

Nucl.Phys. B707 (2005) 303-320

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 1 fig, References added. Earlier results in [38] are pointed out

Scientific paper

10.1016/j.nuclphysb.2004.11.020

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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