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 (14)
- The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
- Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
- 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
- On the Strong Coupling Scaling Dimension of High Spin Operators
- 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
- Towards Baxter equation in supersymmetric Yang-Mills theories
- Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM
- Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
- Nesting and Dressing
Cited by in corpus (7)
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- Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
- The virtual scaling function of AdS/CFT
- Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
- Generalized Gribov-Lipatov Reciprocity and AdS/CFT
- Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM
- The property of maximal transcendentality in the N=4 SYM