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Discrete Gauging of 5d 𝒩=1 En SCFTs

Abstract

We study the gauging of discrete symmetries of the 5d rank-one En SCFTs that fix the Coulomb branch coordinate but act nontrivially on the Higgs branch chiral ring. Using generalized toric polygons and (p,q)-brane webs, we identify symmetries of the moduli space that extend to symmetries of the full SCFT. In many cases they are non-anomalous, and we analyze the moduli space of the gauged theories. We realize the resulting Higgs branch quotients as Coulomb branches of wreathed magnetic quivers and compute their Hilbert series; the flavor algebras extracted from moment maps agree with the fixed-point subalgebras of en. We also lift the discrete actions to the Seiberg--Witten geometry and recover the expected restriction on the mass deformations. For β„€2-wreathings that exchange adjacent gauge nodes, we find that the monopole formula requires a flux-dependent sign and propose a corrected prescription. Finally, we conjecture a higher-rank extension and verify it for the rank-two E6/β„€2 Higgs branch.

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BibTeX
@misc{ariastamargo2026discrete,
  title = {{Discrete Gauging of 5d $\mathcalN=1$ $E_n$ SCFTs}},
  author = {Guillermo Arias-Tamargo and Mario De Marco and Craig Lawrie and Shani Nadir Meynet and Alessandro Mininno},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.20917},
  eprint = {2609.20917},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.20917},
}
RIS
TY  - UNPB
TI  - Discrete Gauging of 5d 𝒩=1 E_n SCFTs
AU  - Guillermo Arias-Tamargo
AU  - Mario De Marco
AU  - Craig Lawrie
AU  - Shani Nadir Meynet
AU  - Alessandro Mininno
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2609.20917
UR  - https://arxiv.org/abs/2609.20917
AB  - We study the gauging of discrete symmetries of the 5d rank-one E_n SCFTs that fix the Coulomb branch coordinate but act nontrivially on the Higgs branch chiral ring. Using generalized toric polygons and (p,q)-brane webs, we identify symmetries of the moduli space that extend to symmetries of the full SCFT. In many cases they are non-anomalous, and we analyze the moduli space of the gauged theories. We realize the resulting Higgs branch quotients as Coulomb branches of wreathed magnetic quivers and compute their Hilbert series; the flavor algebras extracted from moment maps agree with the fixed-point subalgebras of e_n. We also lift the discrete actions to the Seiberg--Witten geometry and recover the expected restriction on the mass deformations. For β„€_2-wreathings that exchange adjacent gauge nodes, we find that the monopole formula requires a flux-dependent sign and propose a corrected prescription. Finally, we conjecture a higher-rank extension and verify it for the rank-two E_6/β„€_2 Higgs branch.
ER  -