Algorithmic Dualization of Unitary Circular Quivers

@misc{comi2026algorithmic,
  title = {{Algorithmic Dualization of Unitary Circular Quivers}},
  author = {Riccardo Comi and Chiung Hwang and Fabio Marino},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2607.01327},
  eprint = {2607.01327},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.01327},
}

TY  - UNPB
TI  - Algorithmic Dualization of Unitary Circular Quivers
AU  - Riccardo Comi
AU  - Chiung Hwang
AU  - Fabio Marino
PY  - 2026
DA  - 2026/10/30
PB  - arXiv
DO  - 10.48550/arxiv.2607.01327
UR  - https://arxiv.org/abs/2607.01327
AB  - We introduce a field-theoretic algorithm to find the SL(2,ℤ) duality web of 3d 𝒩=4 circular quiver theories with unitary gauge groups, extending the algorithm for linear quivers. Although circular and linear quivers share the same local structure, the circular topology requires additional ingredients, which we formulate in terms of topological and baryonic QFT blocks, together with new SL(2,ℤ) duality moves acting on them. For good circular quivers, this provides a field-theoretic derivation of mirror symmetry and extends it to the full SL(2,ℤ) duality web. We then study bad circular quivers, distinguishing between local badness, associated with under-balanced gauge nodes, and global badness, arising from the circular topology itself. In particular, we analyze the magnetic and electric dual frames of globally bad circular quivers and provide additional evidence for the proposed duality by matching the Higgs branch index with the dual Coulomb branch index. The latter exhibits a structure reminiscent of permutation-group gauging and reveals a refined relation to the ADHM quiver, flowing to the 𝒩=8 infrared fixed point.
ER  -