Spencer Tamagni (UCB) “Quasimaps with monopoles and nonabelian shift operators”

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Abstract: We revisit supersymmetric localization with monopole operators in 3D N=4 gauge theories, arriving at a new point of view on their quantized Coulomb branch algebras. Our construction agrees with and recovers the existing mathematical definition. We apply the machinery to define a nonabelian analog of shift operators in enumerative theory of quasimaps, and illustrate the construction in detail for curve counts in GL(n)/B.