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Dualities for loop amplitudes of N = 6 Chern-Simons matter theory

Chen, Wei-Ming and Huang, Yu-tin (2011) Dualities for loop amplitudes of N = 6 Chern-Simons matter theory. Journal of High Energy Physics, 2011 (11). Art. No. 057. ISSN 1126-6708.

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In this paper we study the one- and two-loop corrections to the four-point amplitude of N = 6 Chern-Simons matter theory. Using generalized unitarity methods we express the one- and two-loop amplitudes in terms of dual-conformal integrals. Explicit integration by using dimensional reduction gives vanishing one-loop result as expected, while the two-loop result is non-vanishing and matches with the Wilson loop computation. Furthermore, the two-loop correction takes the same form as the one-loop correction to the four-point amplitude of N = 4 super Yang-Mills. We discuss possible higher loop extensions of this correspondence between the two theories. As a side result, we extend the method of dimensional reduction for three dimensions to five dimensions where dual conformal symmetry is most manifest, demonstrating significant simplification to the computation of integrals.

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Additional Information:© 2011 SISSA. Published for SISSA by Springer. Received: July 21, 2011; Accepted: October 17, 2011; Published: November 10, 2011. The authors would especially like to thank Simon Caron-Hout for suggestions and verifications throughout this project. We would also like to thank Johannes Henn, Konstantin Wiegandt, Gregory Korchemsky, Radu Roiban, George Sterman and Zvi Bern for detailed discussion on various aspects of general loop amplitudes, as well as Marco S. Bianchi, Matias Leoni, Andrea Mauri, Silvia Penati and Alberto Santambrogio for private communications on the Feynman diagram calculation of the amplitude and pointing out a sign error in the early version of the draft. We would also like to thank Ilmo Sung, Tristan McLoughlin and Arthur Lipstein for discussion during the initial stage of this project. Part of this work was completed at the Kavli Institute for Theoretical Physics during the program “The harmony of scattering amplitudes”. WM thanks Professor Pei-Ming Ho and National Science Council of Taiwan to provide the exchange program to study in Caltech. The work of Y-t is supported by the US Department of Energy under contract DE-FG03-91ER40662 and in part by the National Science Foundation under Grant No. NSF PHY05-51164.
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Department of Energy (DOE)DE-FG03-91ER40662
Subject Keywords:Field Theories in Lower Dimensions; Extended Supersymmetry; AdS-CFT Correspondence; Chern-Simons Theories
Issue or Number:11
Record Number:CaltechAUTHORS:20120210-111210608
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:29237
Deposited By: Tony Diaz
Deposited On:21 Mar 2012 20:39
Last Modified:03 Oct 2019 03:39

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