Dual superconformal symmetry of N = 6 Chern-Simons theory

Creators: Huang, Yu-tin; Lipstein, Arthur E.

Abstract

We demonstrate that the four and six-point tree-level amplitudes of N = 6 superconformal Chern-Simons theory (ABJM) enjoy OSp(6|4) dual superconformal symmetry if one enlarges the dual superspace to include three additional Grassmann-even coordinates which correspond to an abelian isometry of CP^3. The inclusion of these coordinates enables us to match the nontrivial dual superconformal generators with level-one Yangian generators when acting on on-shell amplitudes. We also discuss some implications of dual conformal symmetry for loop-level amplitudes.

Additional Information

© 2010 SISSA. This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited. Received: September 4, 2010; Accepted: October 22, 2010; Published: November 17, 2010. The work of YH is supported by the US DOE grant DE-FG03-91ER40662 and the work of AEL is supported in part by the US DOE grant DE-FG02-92ER40701. We would like to thank Zvi Bern, Emery Sokatchev, Ilmo Sung, and Tristan McLoughlin for many suggestions, especially regarding dual special supersymmetry and loop results. We would also like to thank Till Bargheer, Johannes Henn, Harold Ita, Sangmin Lee, F. Loebbert, Juan Maldacena, Carlo Meneghelli, John H. Schwarz, and Linus Wul for useful comments. YH would like to thank Mark Wise for the invitation as visiting scholar at Caltech.

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