The 4-fold Pandharipande--Thomas vertex and Jeffrey--Kirwan residue
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911561301360640 |
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| author | Kimura, Taro Noshita, Go |
| author_facet | Kimura, Taro Noshita, Go |
| contents | We present a contour integral formalism for computing the K-theoretic equivariant Pandharipande--Thomas (PT) 4-vertex. Within the Jeffrey--Kirwan (JK) residue framework, we show that the PT 4-vertex can be obtained from the same integrand as the Donaldson--Thomas (DT) 4-vertex by choosing a different reference vector. We illustrate the formalism through examples involving curves and surfaces on the 4-fold. Furthermore, we investigate the DT/PT correspondence for the 4-fold setting together with its higher rank and supergroup-like generalizations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12128 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The 4-fold Pandharipande--Thomas vertex and Jeffrey--Kirwan residue Kimura, Taro Noshita, Go High Energy Physics - Theory Mathematical Physics Algebraic Geometry Combinatorics We present a contour integral formalism for computing the K-theoretic equivariant Pandharipande--Thomas (PT) 4-vertex. Within the Jeffrey--Kirwan (JK) residue framework, we show that the PT 4-vertex can be obtained from the same integrand as the Donaldson--Thomas (DT) 4-vertex by choosing a different reference vector. We illustrate the formalism through examples involving curves and surfaces on the 4-fold. Furthermore, we investigate the DT/PT correspondence for the 4-fold setting together with its higher rank and supergroup-like generalizations. |
| title | The 4-fold Pandharipande--Thomas vertex and Jeffrey--Kirwan residue |
| topic | High Energy Physics - Theory Mathematical Physics Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2508.12128 |