Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP06(2015)076
Keywords
Supersymmetric gauge theory; Topological Field Theories
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Funding
- STFC [ST/L000326/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/L000326/1] Funding Source: researchfish
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We study two-dimensional N = (2, 2) supersymmetric gauged linear sigma models (GLSM) on the Omega-deformed sphere, S-Omega(2), which is a one-parameter deformation of the A-twisted sphere. We provide an exact formula for the S-Omega(2) 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 Omega-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 epsilon(Omega)-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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