Integrability techniques have been crucial to compute non-protected observables in AdS/CFT, starting from the planar spectrum (two-point functions) of the theory. Recently it was understood that planar three- and higher-point functions, as well as non-planar observables, can be computed by integrability techniques. I will discuss these advances in relation to one recently-discovered integrability setup: the AdS3xS3xT4 stringy Wess-Zumino-Witten model.
Based on: 1611.05436, 1710.10212, 1804.01998, 1806.00422.