Analytic three-loop Solutions for N=4 SYM Twist Operators
arXiv:0810.0691 · doi:10.1016/j.nuclphysb.2008.12.022
Abstract
We introduce a method to obtain the analytic solution of the higher-order Baxter equation for twist-two and twist-three operators of planar N=4 SYM. Our result proofs the conjectured formula for the three-loop anomalous dimension of twist-two operators. As such we derive the maximally transcendental part of the corresponding three-loop QCD result from the maximal supersymmetric gauge theory in four dimension purely by methods of integrability.
23 pages; v2: references added, appendix A improved
References in corpus (9)
- Dressing and Wrapping
- A Test of the AdS/CFT Correspondence Using High-Spin Operators
- Wrapping at four loops in N=4 SYM
- On the highest transcendentality in N=4 SUSY
- Two-loop world-sheet corrections in AdS_5 x S^5 superstring
- The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
- Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory
- Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM
- Nesting and Dressing