Hyperfunctions in $A$-model Localization
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913028162715648 |
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| author | Leeb-Lundberg, Emil Hakan |
| author_facet | Leeb-Lundberg, Emil Hakan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_25976 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hyperfunctions in $A$-model Localization Leeb-Lundberg, Emil Hakan High Energy Physics - Theory 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. |
| title | Hyperfunctions in $A$-model Localization |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.25976 |