Stefanski, B. & Tseytlin, A. A. (2004). Large spin limits of AdS/CFT and generalized LandauLifshitz equations. Journal of High Energy Physics, 2004(5), doi: 10.1088/11266708/2004/05/042

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Abstract
We consider AdS_5 x S^5 string states with several large angular momenta along AdS_5 and S^5 directions which are dual to singletrace SuperYangMills (SYM) operators built out of chiral combinations of scalars and covariant derivatives. In particular, we focus on the SU(3) sector (with three spins in S^5) and the SL(2) sector (with one spin in AdS_5 and one in S^5), generalizing recent work hepth/0311203 and hepth/0403120 on the SU(2) sector with two spins in S^5. We show that, in the large spin limit and at the leading order in the effective coupling expansion, the string sigma model equations of motion reduce to matrix LandauLifshitz equations. We then demonstrate that the coherentstate expectation value of the oneloop SYM dilatation operator restricted to the corresponding sector of single trace operators is also effectively described by the same equations. This implies a universal leading order equivalence between string energies and SYM anomalous dimensions, as well as a matching of integrable structures. We also discuss the more general 5spin sector and comment on SO(6) states dual to nonchiral scalar operators.
Item Type:  Article 

Subjects:  Q Science > QC Physics 
Divisions:  School of Engineering & Mathematical Sciences > Department of Mathematical Science 
Related URLs:  
URI:  http://openaccess.city.ac.uk/id/eprint/1024 
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