Seiberg-like dualities for orthogonal and symplectic 3d $\mathcal{N} = 2$ gauge theories with boundaries

Douglas J. Smith; Tadashi Okazaki

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Seiberg-like dualities for orthogonal and symplectic 3d $\mathcal{N} = 2$ gauge theories with boundaries

Tadashi Okazaki, Douglas J. Smith

High Energy Physics - Theory · Submitted 16 May 2021

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show that the boundary 't Hooft anomalies and half-indices perfectly match for each pair of the proposed dual boundary conditions.

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arXiv ID2105.07450 (version 3)

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CitationDouglas J. Smith, Tadashi Okazaki. "Seiberg-like dualities for orthogonal and symplectic 3d $\mathcal{N} = 2$ gauge theories with boundaries." arXiv:2105.07450 (2021). https://pith.science/paper/GZHP3NUF

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We propose dualities of $\mathcal{N} = (0,2)$ supersymmetric boundary conditions for 3d $\mathcal{N} = 2$ gauge theories with orthogonal and symplectic gauge groups. We show that the boundary 't Hooft anomalies and half-indices perfectly match for each pair of the proposed dual boundary conditions.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We propose dualities of $\mathcal{N} = (0,2)$ supersymmetric boundary conditions for 3d $\mathcal{N} = 2$ gauge theories with orthogonal and symplectic gauge groups.	contribution 1.00	0.87	0.62	asserted 0.69
s1	We show that the boundary 't Hooft anomalies and half-indices perfectly match for each pair of the proposed dual boundary conditions.	result 0.99	0.94	0.47	asserted 1.00

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Original abstract

We propose dualities of $\mathcal{N} = (0,2)$ supersymmetric boundary conditions for 3d $\mathcal{N} = 2$ gauge theories with orthogonal and symplectic gauge groups. We show that the boundary 't Hooft anomalies and half-indices perfectly match for each pair of the proposed dual boundary conditions.

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References

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

On Superconformal Index Degenerations and Half-Indices in S-Confining Gauge Theories
hep-th 2026-11 accept novelty 7.0 of 10

The p to 0 limit of four-dimensional superconformal index identities yields three-dimensional half-index identities, analytically proving the Okazaki-Smith boundary confining duality for SU(N) with an antisymmetric ch...
Two-node Dualities from Elementary Dualities in 3d and 4d
hep-th 2026-10 conditional novelty 7.0 of 10

A new 3d N=2 two-node Seiberg-like duality is proposed and supported by partition function matching, and the 4d ILS duality is derived from nodewise Seiberg and Kutasov-Schwimmer dualities.
Symplectic Chern-Simons theories dual to Abelian rank-$0$ theories
hep-th 2026-09 conditional novelty 7.0 of 10

A conjectured exact infrared duality links USp(2n) Chern-Simons matter theories with one fundamental chiral to Abelian rank-0 theories T_{ell,n}, supported by matching vacuum counts and indices in several cases.
Monopole-deformed Kim-Park dualities from elementary dualities
hep-th 2026-10 conditional novelty 6.0 of 10

The authors derive ellipsoid partition function identities for the monopole-deformed Kim-Park dualities KP±β for β=0,...,2p, using only Aharony and BBP dualities.

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8 arXiv papers cite this in 21 sentences

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Papers citing it · 18 sentences without a confident label

Cites it as background 3 papers

For full details of how to construct the half-indices and several examples see [ref] .

Boundary confining dualities and Askey-Wilson type $q$-beta integrals · $SO(N)$ with $N-2$ fundamental chirals and $_2$ fugacities · 0.80
Such theories enjoy various dualities [ref] , which can be tested by analysis of their partition functions [ref] , and which can also be understood from perspective of string theory and M-theory.

3d $\mathcal{N}=2$ theories and plumbing graphs: adding matter, gauging, and new dualities · Introduction · 0.92
[See [ref] for various studies of $𝒩=(0,2)$ boundary conditions.] In addition, they can naturally couple to boundary 2d degrees of freedom preserving $𝒩=(0,2)$ supersymmetry.

Line defect half-indices of $SU(N)$ Chern-Simons theories · Introduction and conclusion · 1.00

What it cites · 93 sentences without a confident label

Uses the method or tool of 2 papers

We can construct the half-indices for the 3d $𝒩=2$ gauge theories with Dirichlet boundary condition $𝒟$ for the vector multiplet using the expressions in [ref] .

Dual Boundary Conditions in 3d SCFT's · Half-index · 0.99
To derive the half-indices with $k 0$ we can take limits of the fugacities following the procedure described in [ref] for the full indices, and somewhat similar to the process outlined in [ref] for unitary half-indices.

Comments on 3d Seiberg-like dualities · Chern-Simons level $k 0$ · 0.98

Cites as background 59 papers

For the symplectic gauge groups, the IR dualities are proposed in [ref] .

Seiberg duality in three dimensions · $USp(2N_c)$ gauge theories · 0.83
For the symplectic gauge groups, the IR dualities are proposed in [ref] .

IR Duality in d=3 N=2 Supersymmetric USp(2N_c) and U(N_c) Gauge Theories · $USp(2N_c)$ gauge theories · 0.83
Simple dualities of $𝒩=(0,2)$ half-BPS boundary conditions of 3d $𝒩=2$ gauge theories for Abelian gauge theories were proposed in [ref] and various dualities of $𝒩=(0,2)$ half-BPS boundary conditions for 3d $𝒩=2$ gauge theories with unitary gauge groups were proposed in [ref] .

Supersymmetric Boundary Conditions in Three Dimensional N = 2 Theories · Introduction and conclusions · 0.90

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