We consider α′ corrections to four-point correlators of half-BPS operators in N = 4 super Yang-Mills theory in the supergravity limit within the context of AdS/CFT. By demanding the correct behaviour in the flat space limit, we find that the leading (α′)^3 correction to the Mellin amplitude is fixed for arbitrary charges of the external operators. We consider double-trace operators and observe striking patterns in the α′ corrections to the spectra which hint at their common ten-dimensional origin. By extending the observed patterns and imposing them at order (α′)^5 we are able to reproduce recent results for certain correlators as well as deduce some new results.

We describe the leading and sub-leading multi-soft behavior of tree level gluon amplitudes and an underlying two-dimensional description of such scenarios where the soft limits are currents related to asymptotic symmetries of YM theory. Such kinematic limits allow us to explore the algebra of these two dimensional currents and we comment on their CFT interpretation. Then we explore a possible two-dimensional description of certain amplitudes in massive scalar QFT’s.