I will give an overview of a three decade long project of novel symmetries in quantum field theory, with the emphasis on the most recent development concerning the realisation of stable envelopes (proposed by A. Okounkov and collaborators) and R-matrices via supersymmetric interfaces in 1-2-3 dimensional supersymmetric gauge theories. Based on the recent paper arXiv:2109.10941 with Mykola Dedushenko.