String Theory Journal Club

I will talk about certain supersymmetric interfaces in gauge theories and their role in the Bethe/gauge correspondence. On the "Bethe" side of this correspondence, there is an integrable model, whose Hilbert space V furnishes a representation of the quantum spectrum generating algebra (such as Yangian), while on the "gauge" side there is a family of supersymmetric gauge theories, whose space of SUSY vacua is V. Supersymmetric Janus interfaces for masses give natural linear maps between the spaces of SUSY vacua V, realizing stable envelopes and chamber R-matrices (both due to Maulik-Okounkov and Aganagic-Okounkov), which ultimately encode the action of quantum algebra on the "gauge" side. Further applications will be mentioned as well. Based on the recent and upcoming works with N.Nekrasov.