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From scattering amplitudes to the dilatation generator in N = 4 SYM

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.

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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
Funding AgencyGrant Number
Lee A. DuBridge FellowshipUNSPECIFIED
Department of Energy (DOE)DE-FG03-92-ER40701
Issue or Number:11
Classification Code:PACS: 11.30.Pb; 12.60.Jv; 11.25.Hf. MSC: 81T60; 81T13; 81T40.
Record Number:CaltechAUTHORS:20120412-083015764
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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
Deposited By: Tony Diaz
Deposited On:17 Apr 2012 18:47
Last Modified:12 Jul 2022 19:45

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