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<p>We apply localization techniques to topologically <i>A</i>-twisted 𝒩 = (2, 2) supersymmetric theories of vector and chiral multiplets on <i>S</i><sup>2</sup> 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 <i>A</i>-twisted ℂℙ<sup><i>N−</i>1</sup> 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<sup><i>N−</i>1</sup> correlator, and find agreement with the Jeffrey-Kirwan residue prescription.</p>

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Hyperfunctions in A-model localization

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月6日

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  • Emil Hakan Leeb-Lundberg

摘要

We apply localization techniques to topologically A-twisted 𝒩 = (2, 2) supersymmetric theories of vector and chiral multiplets on S2 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 ℂℙN−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 ℂℙN−1 correlator, and find agreement with the Jeffrey-Kirwan residue prescription.