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Two-node Dualities from Elementary Dualities in 3d and 4d

  • Yuanyuan Fang
  • Sungjoon Kim
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Abstract

A new 3d 𝒩=2 two-node Seiberg-like duality, analogous to the 4d 𝒩=1 Intriligator--Leigh--Strassler~(ILS) duality, is proposed. As strong evidence, we check the agreement between the 3d 𝒩=2 ellipsoid partition functions for numerous cases using s-confinement method. Surprisingly, our derivation assumes only two elementary 3d 𝒩=2 dualities: Aharony and Benini--Benvenuti--Pasquetti, which reinforces the idea dualities from dualities. We also revisit the original ILS duality and provide a derivation based on nodewise dualities. In particular, we apply a sequence of Seiberg and Kutasov--Schwimmer dualities to individual gauge nodes, with Higgsing at an intermediate step, and subsequently integrate out the massive fields.

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Cite

BibTeXRIS
BibTeX
@misc{fang2026twonode,
  title = {{Two-node Dualities from Elementary Dualities in 3d and 4d}},
  author = {Yuanyuan Fang and Sungjoon Kim},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.34752},
  eprint = {2610.34752},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.34752},
}
RIS
TY  - UNPB
TI  - Two-node Dualities from Elementary Dualities in 3d and 4d
AU  - Yuanyuan Fang
AU  - Sungjoon Kim
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.34752
UR  - https://arxiv.org/abs/2610.34752
AB  - A new 3d 𝒩=2 two-node Seiberg-like duality, analogous to the 4d 𝒩=1 Intriligator--Leigh--Strassler~(ILS) duality, is proposed. As strong evidence, we check the agreement between the 3d 𝒩=2 ellipsoid partition functions for numerous cases using s-confinement method. Surprisingly, our derivation assumes only two elementary 3d 𝒩=2 dualities: Aharony and Benini--Benvenuti--Pasquetti, which reinforces the idea dualities from dualities. We also revisit the original ILS duality and provide a derivation based on nodewise dualities. In particular, we apply a sequence of Seiberg and Kutasov--Schwimmer dualities to individual gauge nodes, with Higgsing at an intermediate step, and subsequently integrate out the massive fields.
ER  -