Quantizing three-spin string solution in AdS_5 x S^5

Details Quantizing three-spin string solution in AdS_5 x S^5 Quantizing three-spin string solution in AdS_5 x S^5

2003-06-13

arxiv.org/abs/hep-th/0306130v5

JHEP 0307:016,2003

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, harvmac. v5: minor misprints in eqs (2.6),(2.16),(2.20),(2.21) corrected

Scientific paper

10.1088/1126-6708/2003/07/016

As was recently found in hep-th/0304255, there exists a simple non-supersymmetric classical solution describing a closed string rotating in S^5 and located at the center of AdS_5. It is parametrized by the angular momentum J of the center of mass and two equal SO(6) angular momenta J' in the two other orthogonal rotation planes. The dual N=4 SYM operators should be scalar operators in SU(4) representations [0,J-J',2J'] or [J'-J,0,J'+J]. This solution is stable if J' > 3/2 J and for large J + 2 J' its classical energy admits an expansion in positive powers of g_eff = \lambda/(J + 2 J')^2: E= J + 2 J' + g_eff J' + ... . This suggests a possibility of a direct comparison with perturbative SYM results for the corresponding anomalous dimensions in the sector with g_eff << 1, by analogy with the BMN case. We conjecture that all quantum sigma model string corrections are then subleading at large J', so that the classical formula for the energy is effectively exact to all orders in \lambda. It could then be interpolated to weak coupling, representing a prediction for the anomalous dimensions on the SYM side. We test this conjecture by computing the 1-loop superstring sigma model correction to the classical energy.

Affiliated with

Also associated with

No associations

Rating

Quantizing three-spin string solution in AdS_5 x S^5 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 Quantizing three-spin string solution in AdS_5 x S^5, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantizing three-spin string solution in AdS_5 x S^5 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-26747