Hyperfunctions in A-model localization

A bstract We apply localization techniques to topologically A -twisted 𝒩 = (2, 2) supersymmetric theories of vector and chiral multiplets on S 2 and derive a novel exact formula for abelian observables, described by a distribution integrated along the real line. The distributional integral formula is verified by evaluating the correlator of the A -twisted ℂℙ N− 1 gauged linear sigma model and confirming the standard selection rule. Finally, we use hyper-functions to demonstrate the equivalence between the distributional and complex contour integral descriptions of the ℂℙ N− 1 correlator, and find agreement with the Jeffrey-Kirwan residue prescription.