Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-04-19
JHEP 0405:042,2004
Physics
High Energy Physics
High Energy Physics - Theory
35 pages, LaTeX. v3 minor comments and one reference added. v4 an equivalent form of the action in sect. 5.1 added, misprints
Scientific paper
10.1088/1126-6708/2004/05/042
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 single-trace Super-Yang-Mills (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 hep-th/0311203 and hep-th/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 Landau-Lifshitz equations. We then demonstrate that the coherent-state expectation value of the one-loop 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 5-spin sector and comment on SO(6) states dual to non-chiral scalar operators.
Jr.
Stefanski Bogdan
Tseytlin Arkady A.
No associations
LandOfFree
Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-382461