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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Six easy pieces: interplays among dualities in 4d, 3d and 2d

  • Antonio Amariti1
  • Pietro Glorioso1,2
  • Chiara Mascherpa1,2
  • Andrea Zanetti1,2
  1. 1INFN, Sezione di Milano
  2. 2Università degli studi di Milano
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Abstract

In this paper we consider 4d 𝒩 = 1 SU(N) gauge theories with N+1 fundamentals, five antifundamentals and a conjugate two index antisymmetric tensor. The model has been shown to be in a mixed phase in the IR, splitting in an interacting non-Abelian Coulomb phase and a free magnetic phase. Through tensor deconfinement, we show that baryonic deformations lead to a non-Abelian free magnetic phase. Along the analysis we obtain a duality with symplectic SQCD that can be further reduced to 3d and 2d. In the 3d case the analysis of the three sphere partition function allows one to obtain dualities between SU(N) with a two index symmetric tensor and SO(N) theories. On the other hand, in 2d we recover dualities already known in the literature and propose new ones between special unitary and symplectic gauge theories.

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Cite

BibTeXRIS
BibTeX
@article{amariti2026easy,
  title = {{Six easy pieces: interplays among dualities in 4d, 3d and 2d}},
  author = {Antonio Amariti and Pietro Glorioso and Chiara Mascherpa and Andrea Zanetti},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = nov,
  doi = {10.1007/jhep11(2026)013},
  url = {https://link.springer.com/article/10.1007/JHEP11(2026)013},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Six easy pieces: interplays among dualities in 4d, 3d and 2d
AU  - Antonio Amariti
AU  - Pietro Glorioso
AU  - Chiara Mascherpa
AU  - Andrea Zanetti
PY  - 2026
DA  - 2026/11/02
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep11(2026)013
UR  - https://link.springer.com/article/10.1007/JHEP11(2026)013
AB  - In this paper we consider 4d 𝒩 = 1 SU(N) gauge theories with N+1 fundamentals, five antifundamentals and a conjugate two index antisymmetric tensor. The model has been shown to be in a mixed phase in the IR, splitting in an interacting non-Abelian Coulomb phase and a free magnetic phase. Through tensor deconfinement, we show that baryonic deformations lead to a non-Abelian free magnetic phase. Along the analysis we obtain a duality with symplectic SQCD that can be further reduced to 3d and 2d. In the 3d case the analysis of the three sphere partition function allows one to obtain dualities between SU(N) with a two index symmetric tensor and SO(N) theories. On the other hand, in 2d we recover dualities already known in the literature and propose new ones between special unitary and symplectic gauge theories.
SN  - 1029-8479
ER  -