Abstract
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.