Abstract
We study two-dimensional \( \mathcal{N}=\left(2,\;2\right) \) supersymmetric gauged linear sigma models (GLSM) on the Ω-deformed sphere, S 2 Ω , which is a one-parameter deformation of the A-twisted sphere. We provide an exact formula for the S 2 Ω supersymmetric correlation functions using supersymmetric localization. The contribution of each instanton sector is given in terms of a Jeffrey-Kirwan residue on the Coulomb branch. In the limit of vanishing Ω-deformation, the localization formula greatly simplifies the computation of A-twisted correlation functions, and leads to new results for non-abelian theories. We discuss a number of examples and comment on the ϵ Ω-deformation of the quantum cohomology relations. Finally, we present a complementary Higgs branch localization scheme in the special case of abelian gauge groups.
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Closset, C., Cremonesi, S. & Park, D.S. The equivariant A-twist and gauged linear sigma models on the two-sphere. J. High Energ. Phys. 2015, 76 (2015). https://doi.org/10.1007/JHEP06(2015)076
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DOI: https://doi.org/10.1007/JHEP06(2015)076