Abstract
We study two-dimensional N=(2,2) 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.
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.
| Original language | English |
|---|---|
| Article number | 76 (2015) |
| Journal | JHEP |
| DOIs | |
| Publication status | Published - 12 Jun 2015 |