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PreprintCC BY 4.0arXiv

Monopole-deformed Kim-Park dualities from elementary dualities

Abstract

We derive the ellipsoid partition function identities for the monopole-deformed Kim-Park dualities of 3d 𝒩=2 adjoint SQCD with unitary gauge groups. The derivation uses only Aharony and Benini-Benvenuti-Pasquetti dualities as building blocks. By deconfining the adjoint into a Cp[U(N)] quiver tail, we construct explicit duality sequences. Confinement and a rank-reducing duality chain then yield the expected magnetic partition functions, including the singlet contributions. We also present an alternative partition-function derivation of the Cp[U(N)] s-confinement and provide Quiver Lab, a standalone HTML application for implementing and visualizing duality moves on quiver diagrams.

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BibTeX
@misc{kim2026monopoledeformed,
  title = {{Monopole-deformed Kim-Park dualities from elementary dualities}},
  author = {Sungjoon Kim and Jehyun Lee},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.22054},
  eprint = {2610.22054},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.22054},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Monopole-deformed Kim-Park dualities from elementary dualities
AU  - Sungjoon Kim
AU  - Jehyun Lee
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.22054
UR  - https://arxiv.org/abs/2610.22054
AB  - We derive the ellipsoid partition function identities for the monopole-deformed Kim-Park dualities of 3d 𝒩=2 adjoint SQCD with unitary gauge groups. The derivation uses only Aharony and Benini-Benvenuti-Pasquetti dualities as building blocks. By deconfining the adjoint into a C_p[U(N)] quiver tail, we construct explicit duality sequences. Confinement and a rank-reducing duality chain then yield the expected magnetic partition functions, including the singlet contributions. We also present an alternative partition-function derivation of the C_p[U(N)] s-confinement and provide Quiver Lab, a standalone HTML application for implementing and visualizing duality moves on quiver diagrams.
ER  -