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PreprintCC BY 4.0arXiv

Landscape of Higgs vacua in 5d 𝒩=1

Abstract

Strongly coupled 5d 𝒩=1 gauge theories have a Higgs branch of their moduli space of vacua, identified by 1/2-BPS operators and their algebraic relations. For SU(Nc)k theories, we map the moduli space across different phases and we establish how the Chern-Simons level k deforms the chiral ring relations among mesons, baryons, and instantons, while determining specific patterns of symmetry enhancement. For SO(Nc) theories, we construct the corresponding chiral ring constraints at infinite coupling. Finally, we identify the Higgs branch as a classical integrable system, through the expansion of the chiral ring in terms of action variables.

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BibTeX
@misc{hanany2026landscape,
  title = {{Landscape of Higgs vacua in 5d $\mathcalN=1$}},
  author = {Amihay Hanany and Elias Van den Driessche},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.24176},
  eprint = {2610.24176},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.24176},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Landscape of Higgs vacua in 5d 𝒩=1
AU  - Amihay Hanany
AU  - Elias Van den Driessche
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.24176
UR  - https://arxiv.org/abs/2610.24176
AB  - Strongly coupled 5d 𝒩=1 gauge theories have a Higgs branch of their moduli space of vacua, identified by 1/2-BPS operators and their algebraic relations. For SU(N_c)_k theories, we map the moduli space across different phases and we establish how the Chern-Simons level k deforms the chiral ring relations among mesons, baryons, and instantons, while determining specific patterns of symmetry enhancement. For SO(N_c) theories, we construct the corresponding chiral ring constraints at infinite coupling. Finally, we identify the Higgs branch as a classical integrable system, through the expansion of the chiral ring in terms of action variables.
ER  -