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We use unitarity techniques to compute the two-loop nonplanar corrections to the Sudakov form factor and the four-point amplitude in the ABJM theory. We start by reconstructing nonplanar integrals from twoparticle cuts in three dimensions. This causes ambiguities due to the one-loop, four-point amplitude being subleading in dimensional regularization. We provide a prescription to circumvent them and show that it leads to the correct results, as checked against the recent Feynman diagram computation. For the amplitude, we point out an alternative basis of integrals, including a nonplanar double box with a numerator inspired by color-kinematics duality. We reproduce the result using a combination thereof with the coefficients fixed by generalized unitarity. For the BLG theory, we propose that this gives the form of the amplitude satisfying color-kinematics duality. Finally, we compute the complete two-loop amplitude of three-dimensional Ɲ = 8 SYM and the corresponding four-point amplitude in Ɲ = 16 supergravity as a double copy. [ABSTRACT FROM AUTHOR]

We compute the expectation value of the 1/2 BPS circular Wilson loop in N = 6 superconformai Chern-Simons (ABJM) theory at two loops in perturbation theory. The result shows perfect agreement with the prediction from localization and the proposed framing factor. [ABSTRACT FROM AUTHOR]

We study planar Aharony-Bergman-Jafferis-Maldacena (ABJM) theory in a limit where one coupling is negligible compared to the other. We provide a recipe for exactly solving the expectation value of bosonic Bogomol'nyi-Prasad-Sommerfield (BPS) Wilson loops on arbitrary smooth contours, or the leading divergence for cusped ones, using results from localization. As an application, we compute the exact (generalized) cusp anomalous dimension and Bremsstrahlung function and use it to determine the interpolating h-function. We finally prove a conjecture on the exact form of the dilatation operator in a closed sector, hinting at the integrability of this limit. [ABSTRACT FROM AUTHOR]

We compute the expectation value of the ½ BPS circular Wilson loop in N=6 superconformal Chern-Simons (ABJM) theory at two loops in perturbation theory. The result shows perfect agreement with the prediction from localization and the proposed framing factor. [ABSTRACT FROM AUTHOR]