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arXiv · 1107.2710

Dualities for Loop Amplitudes of N=6 Chern-Simons Matter Theory

Wei-Ming Chen·Yu-tin Huang
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Abstract

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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Wei-Ming Chen, Yu-tin Huang. 2011-11-10. Dualities for Loop Amplitudes of N=6 Chern-Simons Matter Theory. https://doi.org/10.1007/jhep11(2011)057

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