Scattering amplitudes at strong coupling for 4K gluons
arXiv:1004.3983 · doi:10.1007/JHEP12(2010)082
Abstract
In this paper we study the scattering amplitudes at strong coupling for the case where the number of gluons is a multiple of four. This is an important missing piece in arXiv:1002.2459. The tricky point for n=4K is that there is some accidental degeneracy in such case. We explain this point in detail and show that a non-trivial monodromy around infinity was developed by the world-sheet coordinate transformation appearing in the computation. It turns out that besides solving the Y system, we also need to calculate T functions to compute the full amplitudes. We show that the T functions can be derived by taking a limit of Y functions of a higher-point case. As a check, we obtain the known result of eight-point in AdS_3 case.
23 pages, 3 figures. v3: A major revision of the paper, various points much clarified, appendix added; no change of the main results
References in corpus (12)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Gluon scattering amplitudes at strong coupling
- MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
- Hexagon Wilson loop = six-gluon MHV amplitude
- Two-Loop Iteration of Five-Point N=4 Super-Yang-Mills Amplitudes
- Generating AdS String Solutions
- Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
- Pohlmeyer reduction revisited
- On reduced models for superstrings on AdS_n x S^n
- One-Loop Amplitudes in N=4 Super Yang-Mills and Anomalous Dual Conformal Symmetry
- Proof of the Dual Conformal Anomaly of One-Loop Amplitudes in N=4 SYM
- Matching gluon scattering amplitudes and Wilson loops in off-shell regularization