SL(2) spin chain and spinning strings on AdS_5xS^5
High Energy Physics - Theory
2010-04-05 v2
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.
Cite
@article{arxiv.hep-th/0409086,
title = {SL(2) spin chain and spinning strings on AdS_5xS^5},
author = {S. Bellucci and P. -Y. Casteill and J. F. Morales and C. Sochichiu},
journal= {arXiv preprint arXiv:hep-th/0409086},
year = {2010}
}
Comments
18 pages, 1 fig, References added. Earlier results in [38] are pointed out