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We use conformal embeddings involving exceptional affine Kac-Moody algebras to derive new dualities of three-dimensional topological field theories. These generalize the familiar level-rank duality of Chern-Simons theories based on…

高能物理 - 理论 · 物理学 2019-10-31 Clay Cordova , Po-Shen Hsin , Kantaro Ohmori

We use localization techniques to study duality in N = 2 supersymmetric gauge theories in three dimensions. Specifically, we consider a duality due to Aharony involving unitary and symplectic gauge groups, which is similar to Seiberg…

高能物理 - 理论 · 物理学 2021-01-13 Brian Willett , Itamar Yaakov

We generalize recent construction of four-dimensional $\mathcal{N}=1$ SCFT from wrapping six-dimensional $\mathcal{N}=(2,0)$ theory on a Riemann surface to the case of $D$-type with outer-automorphism twists. This construction allows us to…

高能物理 - 理论 · 物理学 2015-06-17 Prarit Agarwal , Jaewon Song

We propose a duality for N=2 d=3 Chern-Simons gauge theories with orthogonal gauge groups and matter in the vector representation. This duality generalizes level-rank duality for pure Chern-Simons gauge theories with orthogonal gauge groups…

高能物理 - 理论 · 物理学 2011-04-05 Anton Kapustin

We propose dual pairs of $\mathcal{N}=(0,4)$ half-BPS boundary conditions for 3d $\mathcal{N}=4$ Abelian gauge theories related to mirror symmetry and S-duality by showing the matching of boundary 't Hooft anomalies and supersymmetric…

高能物理 - 理论 · 物理学 2019-09-02 Tadashi Okazaki

We study dualities for 3d $\mathcal{N} = 2$ $SU(N_c)$ SQCD at Chern-Simons level $k$ in presence of an adjoint with polynomial superpotential. The dualities are dubbed chiral because there is a different amount of fundamentals $N_f$ and…

高能物理 - 理论 · 物理学 2020-12-02 Antonio Amariti , Marco Fazzi

We find matching pairs of the line defect indices for 3d supersymmetric Abelian gauge theories as strong evidence of dualities of the BPS line operators. They lead to novel duality maps of the BPS line operators for $\mathcal{N}\ge 4$…

高能物理 - 理论 · 物理学 2025-09-25 Hirotaka Hayashi , Tomoki Nosaka , Tadashi Okazaki

We work out the superconformal index for N=2 supersymmetric Chern-Simons matter theories exhibiting Seiberg-like dualities proposed by Giveon and Kutasov. We consider $U(N)/Sp(2N)/O(N)$ gauge theories of QCD type and find the perfect…

高能物理 - 理论 · 物理学 2015-05-28 Chiung Hwang , Hyungchul Kim , Kyung-Jae Park , Jaemo Park

We conjecture infrared emergent $\mathcal{N}=4$ supersymmetry for a class of three-dimensional $\mathcal{N}=2$ $U(1)$ gauge theories coupled with a single chiral multiplet. One example is the case where $U(1)$ gauge group has the…

高能物理 - 理论 · 物理学 2019-03-22 Dongmin Gang , Masahito Yamazaki

We use 3d bosonization dualities to derive new non-supersymmetric dualities between bosonic quiver theories in $2+1$ dimensions. It is shown that such dualities are a natural non-Abelian generalization of the bosonic particle-vortex…

高能物理 - 理论 · 物理学 2018-09-26 Kyle Aitken , Andrew Baumgartner , Andreas Karch

We propose a universal manipulation to obtain Seiberg-like dualities of 3d $\mathcal{N}=2$ general quiver gauge theories with unitary, symplectic and orthogonal gauge groups coupled to fundamental and bifundamental matter fields. We…

高能物理 - 理论 · 物理学 2022-04-28 Tadashi Okazaki , Douglas J. Smith

We study deformations of dualities in finite N=2 supersymmetric QCD. Adding mass terms for some quarks and the adjoint matter to the finite N=2 theory, which is known to have dual descriptions, the correspondence of gauge invariant…

高能物理 - 理论 · 物理学 2009-10-30 Takayuki Hirayama , Nobuhiro Maekawa , Shigeki Sugimoto

We show that the recently proposed large $N$ equivalence between ABJM theories with Chern-Simons terms of different rank and level, U(N_1)_{k_1}\times U(N_1)_{-k_1} and U(N_2)_{k_2}\times U(N_2)_{-k_2}, but the same value of N' =N_1 k_1=N_2…

高能物理 - 理论 · 物理学 2015-05-30 Masanori Hanada , Carlos Hoyos , Andreas Karch

We show that a large subclass of 3d $\mathcal{N}=4$ quiver gauge theories consisting of unitary and special unitary gauge nodes with only fundamental/bifundamental matter have multiple Seiberg-like IR duals. A generic quiver $\mathcal{T}$…

高能物理 - 理论 · 物理学 2023-11-23 Anindya Dey

We propose $SL(2,\mathbb{Z})$ dualities of supersymmetric boundary conditions in the three-dimensional supersymmetric field theories describing a semi-infinite M2-brane terminating on M5-branes. Specifically, we present dualities of…

高能物理 - 理论 · 物理学 2025-12-12 Tadashi Okazaki , Douglas J. Smith

Mirror symmetry, a three dimensional $\mathcal{N}=4$ IR duality, has been studied in detail for quiver gauge theories of the $ADE$-type (as well as their affine versions) with unitary gauge groups. The $A$-type quivers (also known as linear…

高能物理 - 理论 · 物理学 2023-02-22 Anindya Dey

We study three-dimensional supersymmetric quiver gauge theories with a non-simply laced global symmetry primarily focusing on framed affine $B_{N}$ quiver theories. Using a supersymmetric partition function on a three sphere, and its…

高能物理 - 理论 · 物理学 2017-09-20 Anindya Dey , Amihay Hanany , Peter Koroteev , Noppadol Mekareeya

We study 3d $\mathcal{N}=2$ SQCD with symplectic and orthogonal gauge groups and adjoint matter. For $USp(2n)$ with two fundamentals and $SO(N)$ with one vector these models have been recently shown to s-confine. Here we corroborate the…

高能物理 - 理论 · 物理学 2023-01-25 Antonio Amariti , Simone Rota

Mirror Symmetry for a large class of three dimensional $\mathcal{N}=4$ supersymmetric gauge theories has a natural explanation in terms of M-theory compactified on a product of $\text{ALE}$ spaces. A pair of such mirror duals can be…

高能物理 - 理论 · 物理学 2015-05-30 Anindya Dey

Recently, a large class of 3d $\mathcal{N} = 2$ gauge theories with mixed Chern-Simons levels, corresponding to plumbing 3-manifolds, has been identified. In this paper we generalize these theories by including in their content chiral…

高能物理 - 理论 · 物理学 2023-08-25 Shi Cheng , Piotr Sułkowski