Published March 23, 2012
| public
Journal Article
From scattering amplitudes to the dilatation generator in N = 4 SYM
- Creators
- Zwiebel, Benjamin I.
Abstract
The complete spin chain representation of the planar N = 4 SYM dilatation generator has long been known at one loop, where it involves leading nearestneighbor 2 → 2 interactions. In this work, we use superconformal symmetry to derive the unique solution for the leading L → 2 interactions of the planar dilatation generator for arbitrarily large L. We then propose that these interactions are given by a scattering operator that has N = 4 SYM tree-level scattering amplitudes as matrix elements. We provide compelling evidence for this proposal, including explicit checks for L = 2, 3 and a proof of consistency with superconformal symmetry.
Additional Information
© 2012 IOP Publishing Ltd. Received 9 November 2011, in final form 1 February 2012. Published 28 February 2012. I thank Niklas Beisert for helpful discussions and for sharing his observation of the connection between the tree-level four-particle MHV amplitude and the rotating oscillator form of the oneloop dilatation generator. I also thank Ofer Aharony, John Schwarz and Matthias Staudacher for useful discussions and correspondence. The research of the author was supported by a Lee A DuBridge Postdoctoral Fellowship of the California Institute of Technology. In addition, this work is supported in part by the DOE grant DE-FG03-92-ER40701.Additional details
- Eprint ID
- 30063
- Resolver ID
- CaltechAUTHORS:20120412-083015764
- Lee A. DuBridge Fellowship
- DE-FG03-92-ER40701
- Department of Energy (DOE)
- Created
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2012-04-17Created from EPrint's datestamp field
- Updated
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2022-07-12Created from EPrint's last_modified field
- Caltech groups
- Caltech Theory