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Tree-level recursion relation and dual superconformal symmetry of the ABJM theory

Gang, Dongmin and Huang, Yu-tin and Koh, Eunkyung and Lee, Sangmin and Liptstein, Arthur E. (2011) Tree-level recursion relation and dual superconformal symmetry of the ABJM theory. Journal of High Energy Physics, 2011 (3). Art. No. 116. ISSN 1126-6708. doi:10.1007/JHEP03(2011)116.

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We propose a recursion relation for tree-level scattering amplitudes in threedimensional Chern-Simons-matter theories. The recursion relation involves a complex deformation of momenta which generalizes the BCFW-deformation used in higher dimensions. Using background eld methods, we show that all tree-level superamplitudes of the ABJM theory vanish for large deformations, establishing the validity of the recursion formula. Furthermore, we use the recursion relation to compute six-point and eight-point component amplitudes and match them with independent computations based on Feynman diagrams or the Grassmannian integral formula. As an application of the recursion relation, we prove that all tree-level amplitudes of the ABJM theory have dual superconformal symmetry. Using generalized unitarity methods, we extend this symmetry to the cut-constructible parts of the loop amplitudes.

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Liptstein, Arthur E.0000-0002-0213-186X
Additional Information:© 2011 SISSA. Received: January 7, 2011; revised: March 5, 2011; accepted: March 13, 2011; published: March 24, 2011. We are grateful to Nima Arkani-Hamed, Zvi Bern, Bo Feng, Yoon Pyo Hong, Hoil Kim, Ki-Myeong Lee, and John H. Schwarz for discussions. The work of YH is supported by the US Department of Energy under contract DE-FG03-91ER40662 and the work of AEL is supported in part by the US DOE grant DE-FG02-92ER40701. The work of SL is supported in part by the National Research Foundation of Korea Grants NRF-2009-0072755 and NRF-2009-0084601. YH would like to thank Mark Wise for the invitation as visiting scholar at Caltech. The work of SL at the initial stage was done during the workshop "QFT, String Theory and Mathematical Physics" held at Kavli Institute for Theoretical Physics China, CAS, Beijing 100190, China. EK thanks Korea Institute for Advanced Study for providing KIAS Symbolic Cluster Systems.
Group:Caltech Theory
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG03-91ER40662
Department of Energy (DOE)DE-FG02-92ER40701
National Research Foundation of KoreaNRF-2009-0072755
National Research Foundation of KoreaNRF-2009-0084601
Subject Keywords:Supersymmetric gauge theory; AdS-CFT Correspondence; Chern-Simons Theories; Space-Time Symmetries
Issue or Number:3
Record Number:CaltechAUTHORS:20110524-152718150
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:23784
Deposited On:26 May 2011 20:07
Last Modified:09 Nov 2021 16:17

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