Year: 2025
Type: preprint
Abstract: We apply localization techniques to topologically $A$-twisted $\mathcal{N}=(2,2)$ 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 $\mathbb{CP}^{N-1}$ gauged linear sigma model and confirming the standard selection rule. Finally, we use hyperfunctions to demonstrate the equivalence between the distributional and complex contour integral descriptions of the $\mathbb{CP}^{N-1}$ correlator, and find agreement with the Jeffrey-Kirwan residue prescription.
Source: arXiv (Cornell University)
Author: Leeb-Lundberg, Emil Hakan
Institutions: University of Copenhagen, Boğaziçi University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7084447236
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