Quantum curves of 6d SCFTs on a -3 curve
Abstract
We study half-BPS defects and quantum Seiberg-Witten curves in 6d $ \mathcal{N}=(1,0) $ SCFTs on a $ -3 $ curve. We compute the partition functions in the presence of codimension-4 and codimension-2 defects on $ \mathbb{R}^4 \times T^2 $ using generalized blowup equations. We then propose quantum Seiberg-Witten curves as elliptic difference equations satisfied by the Nekrasov-Shatashvili limits of the defect partition functions. We apply this construction to the minimal $ \mathfrak{su}(3) $ gauge theory, and to the $ \mathfrak{g}_2 $ and $ \mathfrak{so}(N) $ gauge theories on a Higgsing tree whose endpoint is the minimal $ \mathfrak{su}(3) $ theory. We also investigate defects and the quantum curve of the $ \mathfrak{su}(3) $ gauge theory compactified on a circle with a $ \mathbb{Z}_2 $ twist.
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BibTeX
@misc{kim2026quantum,
title = {{Quantum curves of 6d SCFTs on a -3 curve}},
author = {Minsung Kim and Sung-Soo Kim and Xin Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.40203},
eprint = {2610.40203},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.40203},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum curves of 6d SCFTs on a -3 curve
AU - Minsung Kim
AU - Sung-Soo Kim
AU - Xin Wang
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.40203
UR - https://arxiv.org/abs/2610.40203
AB - We study half-BPS defects and quantum Seiberg-Witten curves in 6d $ \mathcal{N}=(1,0) $ SCFTs on a $ -3 $ curve. We compute the partition functions in the presence of codimension-4 and codimension-2 defects on $ \mathbb{R}^4 \times T^2 $ using generalized blowup equations. We then propose quantum Seiberg-Witten curves as elliptic difference equations satisfied by the Nekrasov-Shatashvili limits of the defect partition functions. We apply this construction to the minimal $ \mathfrak{su}(3) $ gauge theory, and to the $ \mathfrak{g}_2 $ and $ \mathfrak{so}(N) $ gauge theories on a Higgsing tree whose endpoint is the minimal $ \mathfrak{su}(3) $ theory. We also investigate defects and the quantum curve of the $ \mathfrak{su}(3) $ gauge theory compactified on a circle with a $ \mathbb{Z}_2 $ twist.
ER -