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Symplectic Chern-Simons theories dual to Abelian rank-$0$ theories

  • Tadashi Okazaki
  • Douglas J. Smith
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Abstract

We propose that the 3d symplectic Chern-Simons theory USp(2n) at level k=n+1/2+β„“ with a single chiral multiplet in the fundamental representation is dual, for every pair of positive integers (n,β„“), to the Abelian rank-$0$ theory 𝒯ℓ,n of Creutzig, Garner and Kim. The fundamental is pseudo-real, so the level is half-integral, there is no non-Abelian flavor symmetry, and the supersymmetry is enhanced to 𝒩=4. Both sides have vanishing Higgs and Coulomb branches. We match the counting of supersymmetric vacua under real mass deformations for all (n,β„“), and the supersymmetric indices in a number of cases. We then study in detail the case β„“=1, the minimal USp(2n) Chern-Simons theory at level n+3/2, whose dual is a U(1)n theory with a tadpole level matrix and a bare monopole superpotential.

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Cite

BibTeXRIS
BibTeX
@misc{okazaki2026symplectic,
  title = {{Symplectic Chern-Simons theories dual to Abelian rank-$0$ theories}},
  author = {Tadashi Okazaki and Douglas J. Smith},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.08648},
  eprint = {2609.08648},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.08648},
}
RIS
TY  - UNPB
TI  - Symplectic Chern-Simons theories dual to Abelian rank-$0$ theories
AU  - Tadashi Okazaki
AU  - Douglas J. Smith
PY  - 2026
DA  - 2026/09/08
PB  - arXiv
DO  - 10.48550/arxiv.2609.08648
UR  - https://arxiv.org/abs/2609.08648
AB  - We propose that the 3d symplectic Chern-Simons theory USp(2n) at level k=n+1/2+β„“ with a single chiral multiplet in the fundamental representation is dual, for every pair of positive integers (n,β„“), to the Abelian rank-$0$ theory 𝒯_β„“,n of Creutzig, Garner and Kim. The fundamental is pseudo-real, so the level is half-integral, there is no non-Abelian flavor symmetry, and the supersymmetry is enhanced to 𝒩=4. Both sides have vanishing Higgs and Coulomb branches. We match the counting of supersymmetric vacua under real mass deformations for all (n,β„“), and the supersymmetric indices in a number of cases. We then study in detail the case β„“=1, the minimal USp(2n) Chern-Simons theory at level n+3/2, whose dual is a U(1)^n theory with a tadpole level matrix and a bare monopole superpotential.
ER  -