Probing quantum curves and transitions in 5d SQFTs via defects and blowup equations

A bstract 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,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.

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Publication Details

Journal
Journal of High Energy Physics
Published
2025-12-11
DOI
https://doi.org/10.1007/jhep12(2025)080
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00

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article

Probing quantum curves and transitions in 5d SQFTs via defects and blowup equations

Xin Wang, Kimyeong Lee, Hee‐Cheol Kim, Sung-Soo Kim et al.
Journal of High Energy Physics
Algebraic structures and combinatorial models
article

Probing quantum curves and transitions in 5d SQFTs via defects and blowup equations

Xin Wang, Kimyeong Lee, Hee‐Cheol Kim, Sung-Soo Kim, Minsung Kim
article en

Abstract

A bstract 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,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.

Journal of High Energy PhysicsVol. 2025(12)
Pohang University of Science and Technology (KR), Korea Institute for Advanced Study (KR), University of Science and Technology of China (CN), Harvard University (US), University of Electronic Science and Technology of China (CN), Korea Post (KR), Harvard University Press (US), Asia Pacific Center for Theoretical Physics (KR), Peng Huanwu Center for Fundamental Theory (CN), Institute of Mathematical Sciences (ES), Beijing Institute of Mathematical Sciences and Applications
National Research Foundation, National Natural Science Foundation of China, National Research Foundation of Korea, Ministry of Science and ICT, South Korea, Samsung Science and Technology Foundation, Samsung
Openalex Percentile: Top 55%
Algebraic structures and combinatorial models
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