Zwiebel, Benjamin I. (2012) From scattering amplitudes to the dilatation generator in N = 4 SYM. Journal of Physics A: Mathematical and Theoretical, 45 (11). Art. No. 115401. ISSN 1751-8113. doi:10.1088/1751-8113/45/11/115401. https://resolver.caltech.edu/CaltechAUTHORS:20120412-083015764
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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.
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| 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. | |||||||||
| Group: | Caltech Theory | |||||||||
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| Issue or Number: | 11 | |||||||||
| Classification Code: | PACS: 11.30.Pb; 12.60.Jv; 11.25.Hf. MSC: 81T60; 81T13; 81T40. | |||||||||
| DOI: | 10.1088/1751-8113/45/11/115401 | |||||||||
| Record Number: | CaltechAUTHORS:20120412-083015764 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120412-083015764 | |||||||||
| Official Citation: | From scattering amplitudes to the dilatation generator in N = 4 SYM Benjamin I Zwiebel 2012 J. Phys. A: Math. Theor. 45 115401 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 30063 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 17 Apr 2012 18:47 | |||||||||
| Last Modified: | 12 Jul 2022 19:45 |
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