Corpus ID: 237605537

Interfaces and Quantum Algebras, I: Stable Envelopes

  title={Interfaces and Quantum Algebras, I: Stable Envelopes},
  author={Mykola Dedushenko and Nikita A. Nekrasov},
The stable envelopes of Okounkov et al. realize some representations of quantum algebras associated to quivers, using geometry. We relate these geometric considerations to quantum field theory. The main ingredients are the supersymmetric interfaces in gauge theories with four supercharges, relation of supersymmetric vacua to generalized cohomology theories, and Berry connections. We mainly consider softly broken compactified three dimensional $\mathcal{N} =4$ theories. The companion papers will… Expand

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