Probing Quantum Curves and Transitions in 5d SQFTs via Defects and Blowup Equations
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914202199785472 |
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| author | Kim, Hee-Cheol Kim, Minsung Kim, Sung-Soo Lee, Kimyeong Wang, Xin |
| author_facet | Kim, Hee-Cheol Kim, Minsung Kim, Sung-Soo Lee, Kimyeong Wang, Xin |
| contents | We investigate codimension-2 defect partition functions and quantum Seiberg-Witten curves in 5d rank-1 supersymmetric QFTs, including non-Lagrangian and Kaluza-Klein theories. Using generalized blowup equations, we compute defect partition functions in the $Ω$-background and show that, in the Nekrasov-Shatashvili limit, they satisfy certain difference equations that encode the quantization of classical Seiberg-Witten curves. Furthermore, we explore novel transitions in the defect partition functions and their relation to coordinate transformations of quantum Seiberg-Witten curves, with a focus on SL(2,$\mathbb{Z}$) transformations and Hanany-Witten transitions. These findings provide new insights into the interplay between codimension-2 defects, quantum curves, and the geometric structure of 5d supersymmetric QFTs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_15591 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Probing Quantum Curves and Transitions in 5d SQFTs via Defects and Blowup Equations Kim, Hee-Cheol Kim, Minsung Kim, Sung-Soo Lee, Kimyeong Wang, Xin High Energy Physics - Theory We investigate codimension-2 defect partition functions and quantum Seiberg-Witten curves in 5d rank-1 supersymmetric QFTs, including non-Lagrangian and Kaluza-Klein theories. Using generalized blowup equations, we compute defect partition functions in the $Ω$-background and show that, in the Nekrasov-Shatashvili limit, they satisfy certain difference equations that encode the quantization of classical Seiberg-Witten curves. Furthermore, we explore novel transitions in the defect partition functions and their relation to coordinate transformations of quantum Seiberg-Witten curves, with a focus on SL(2,$\mathbb{Z}$) transformations and Hanany-Witten transitions. These findings provide new insights into the interplay between codimension-2 defects, quantum curves, and the geometric structure of 5d supersymmetric QFTs. |
| title | Probing Quantum Curves and Transitions in 5d SQFTs via Defects and Blowup Equations |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.15591 |