Spinning strings in AdS_5 x S^5 and integrable systems

Details Spinning strings in AdS_5 x S^5 and integrable systems Spinning strings in AdS_5 x S^5 and integrable systems

2003-07-21

arxiv.org/abs/hep-th/0307191v3

Nucl.Phys.B671:3-50,2003

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 49 pages, 3 figures, v2: the new section about agreement with super YM theory in the case of the general circular two-s

Scientific paper

10.1016/j.nuclphysb.2003.08.036

We show that solitonic solutions of the classical string action on the AdS_5 x S^5 background that carry charges (spins) of the Cartan subalgebra of the global symmetry group can be classified in terms of periodic solutions of the Neumann integrable system. We derive equations which determine the energy of these solitons as a function of spins. In the limit of large spins J, the first subleading 1/J coefficient in the expansion of the string energy is expected to be non-renormalised to all orders in the inverse string tension expansion and thus can be directly compared to the 1-loop anomalous dimensions of the corresponding composite operators in N=4 super YM theory. We obtain a closed system of equations that determines this subleading coefficient and, therefore, the 1-loop anomalous dimensions of the dual SYM operators. We expect that an equivalent system of equations should follow from the thermodynamic limit of the algebraic Bethe ansatz for the SO(6) spin chain derived from SYM theory. We also identify a particular string solution whose classical energy exactly reproduces the one-loop anomalous dimension of a certain set of SYM operators with two independent R charges J_1, J_2.

Affiliated with

Also associated with

No associations

Rating

Spinning strings in AdS_5 x S^5 and integrable systems 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 Spinning strings in AdS_5 x S^5 and integrable systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spinning strings in AdS_5 x S^5 and integrable systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-341152