Large-spin expansions of GKP strings
Abstract
We demonstrate that the large-spin expansion of the energy of Gubser-Klebanov-Polyakov (GKP) strings that rotate in &R; × S2 and AdS3 can be expressed in terms of Lambert's W-function. We compute the leading, subleading and next-to-subleading series of exponential corrections to the infinite-volume dispersion relation of GKP strings that rotate in &R; × S2. These strings are dual to the long = 4 SYM operators +… and provide their scaling dimensions at strong coupling. We also show that the strings obey a short-long (strings) duality. For the folded GKP strings that spin inside AdS3 and are dual to twist-2 operators, we confirm the known formulas for the leading and next-to-leading coefficients of their anomalous dimensions and derive the corresponding expressions for the next-to-next-to-leading coefficients.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- March 2014
- DOI:
- 10.1007/JHEP03(2014)018
- arXiv:
- arXiv:1311.5800
- Bibcode:
- 2014JHEP...03..018F
- Keywords:
-
- AdS-CFT Correspondence;
- Strong Coupling Expansion;
- High Energy Physics - Theory
- E-Print:
- 46 pages, 8 figures