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Exact results for boundaries and domain walls in 2d supersymmetric theories

Exact results for boundaries and domain walls in 2d supersymmetric theories

We apply supersymmetric localization to $$ \mathcal{N}=\left(2,2\right) $$ gauged linear sigma models on a hemisphere, with boundary conditions, i.e., D-branes, preserving B-type supersymmetries. We explain how to compute the hemisphere partition function for each object in the derived category of equivariant coherent sheaves, and argue that it depends only on …