Semiclassical Strings in AdS_5 x S^5 and Automorphic Functions
arXiv:1103.2819 · doi:10.1103/PhysRevLett.106.241601
Abstract
Using AdS/CFT we derive from the folded spinning string ordinary differential equations for the anomalous dimension of the dual N=4 SYM twist-two operators at strong coupling. We show that for large spin the asymptotic solutions have the Gribov-Lipatov recirocity property. To obtain this result we use a hidden modular invariance of the energy-spin relation of the folded spinning string. Further we identify the Moch-Vermaseren-Vogt (MVV) relations, which were first recognized in plain QCD calculations, as the recurrence relations of the asymptotic series ansatz.
4 pages
References in corpus (17)
- Gauge Theory Correlators from Non-Critical String Theory
- The Large N Limit of Superconformal Field Theories and Supergravity
- The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
- A semi-classical limit of the gauge/string correspondence
- The Three-Loop Splitting Functions in QCD: The Singlet Case
- Transcendentality and Crossing
- Semiclassical quantization of rotating superstring in AdS_5 x S^5
- Spinning strings in AdS_5 x S^5 and integrable systems
- Revisiting parton evolution and the large-x limit
- Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling
- Logarithmic scaling in gauge/string correspondence
- Anomalous dimensions of high-spin operators beyond the leading order
- Structure of large spin expansion of anomalous dimensions at strong coupling
- Exact computation of one-loop correction to energy of spinning folded string in AdS_5 x S^5
- Quantum corrections to energy of short spinning string in AdS5
- The virtual scaling function of AdS/CFT
- Beyond cusp anomalous dimension from integrability