MARCO STEFANO BIANCHI Queen Mary University of London: For planar N=4 SYM and ABJM theories, the conjectured integrability of the spectral problem allows for computing exactly a plethora of observables. In this talk I will review recent checks of integrability for the three-dimensional ABJM theory at strong coupling, using perturbation theory in the dual superstring sigma model. In particular I will sketch the computation of the strong coupling two-loop corrections to the cusp anomalous dimension and the one-loop corrections to the dispersion relations of the excitations on top of the vacuum. These results can be compared to predictions from integrability, showing partial agreement and some discrepancies due to the limitations of the perturbative approach.

DATA: 18-05-2015