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We test several conjectural dualities between strongly coupled superconformal field theories in three dimensions by computing their exact partition functions on a three-sphere as a function of Fayet-Iliopoulos and mass parameters. The…

High Energy Physics - Theory · Physics 2014-11-20 Anton Kapustin , Brian Willett , Itamar Yaakov

One interesting feature of 3d $\mathcal{N}=2$ theories is that gauge-invariant operators can decouple by strong-coupling effects, leading to emergent flavor symmetries in the IR. The details of such decoupling, however, depends very…

High Energy Physics - Theory · Physics 2016-06-29 Jeongseog Lee , Masahito Yamazaki

We discuss the N=2 superspace formulation of the N=8 superconformal Bagger-Lambert-Gustavsson theory, and of the N=6 superconformal Aharony-Bergman-Jafferis-Maldacena U(N)xU(N) Chern-Simons theory. In particular, we prove the full SU(4)…

High Energy Physics - Theory · Physics 2009-12-10 Marcus Benna , Igor Klebanov , Thomas Klose , Mikael Smedbäck

We construct three dimensional Chern-Simons-matter theories with gauge groups U(N)xU(N) and SU(N)xSU(N) which have explicit N=6 superconformal symmetry. Using brane constructions we argue that the U(N)xU(N) theory at level k describes the…

High Energy Physics - Theory · Physics 2009-07-09 Ofer Aharony , Oren Bergman , Daniel Louis Jafferis , Juan Maldacena

We find new $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,2)$ dualities through the twisted compactifications of 4d supersymmetric theories on $S^2$. Our findings include dualities for both $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,2)$ non-Abelian…

High Energy Physics - Theory · Physics 2025-06-11 Jiaqun Jiang , Satoshi Nawata , Jiahao Zheng

We discuss the N=2 supersymmetric extension of the gauged O(3) sigma model in (2+1) dimensions with an abelian Chern-Simons term. It is shown that the self-dual potential and the Bogomolny relations naturally appear as consequences of…

High Energy Physics - Theory · Physics 2008-11-26 Kyoungtae Kimm , Bukyung Sul

We compute superconformal indices for $\mathcal{N} = 3$ $\hat{ADE}$ Chern-Simons quiver gauge theories with a product gauge group $\prod_i U(N)_i$, using the method of supersymmetric localization. We also perform a large $N$ analysis of the…

High Energy Physics - Theory · Physics 2022-07-20 Moumita Patra

We consider three-dimensional sQED with 2 flavors and minimal supersymmetry. We discuss various models which are dual to Gross-Neveu-Yukawa theories. The $U(2)$ ultraviolet global symmetry is often enhanced in the infrared, for instance to…

High Energy Physics - Theory · Physics 2024-02-16 Francesco Benini , Sergio Benvenuti

We have constructed a two dimensional theory dual to 3D asymptotically flat Supergravity in presence of two supercharges with(out) internal $R-$symmetry. The duals in both the cases are identified with chiral Wess-Zumino-Witten models.…

High Energy Physics - Theory · Physics 2020-01-08 Nabamita Banerjee , Arindam Bhattacharjee , Neetu , Turmoli Neogi

We study gauge theories with N=1 supersymmetry in 2+1 dimensions. We start by calculating the 1-loop effective superpotential for matter in an arbitrary representation. We then restrict ourselves to gauge theories with fundamental matter.…

High Energy Physics - Theory · Physics 2018-11-14 Changha Choi , Martin Rocek , Adar Sharon

We discuss ensemble averages of two-dimensional conformal field theories associated with an arbitrary indefinite lattice with integral quadratic form $Q$. We provide evidence that the holographic dual after the ensemble average is the…

High Energy Physics - Theory · Physics 2022-09-20 Meer Ashwinkumar , Matthew Dodelson , Abhiram Kidambi , Jacob M. Leedom , Masahito Yamazaki

Abelian quiver gauge theories provide nonsupersymmetric candidates for the conformality approach to physics beyond the standard model. Written as ${\cal N}=0$, $U(N)^n$ gauge theories, however, they have mixed $U(1)_p U(1)_q^2$ and $U(1)_p…

High Energy Physics - Theory · Physics 2008-11-26 Edoardo Di Napoli , Paul H. Frampton

We study large N orbifold equivalences involving three-dimensional N=3 and N=4 supersymmetric quiver Chern-Simons-matter theories. The gravity dual of the N=3 Chern-Simons-matter theory is described by AdS4xM7 where the tri-Sasaki manifold…

High Energy Physics - Theory · Physics 2013-10-10 Mitsutoshi Fujita

A new dynamic SU(3)-structure solution in type-IIA is found by T-dualising a deformation of the Maldacena-Nastase solution along an SU(2) isometry. It is argued that this is dual to a quiver gauge theory with multiple Chern-Simons levels. A…

High Energy Physics - Theory · Physics 2015-06-17 Niall T. Macpherson

We study orientifold projections of families of four-dimensional $\mathcal{N}=1$ toric quiver gauge theories. We restrict to quivers that have the unusual property of being associated with multiple periodic planar diagrams which give rise,…

High Energy Physics - Theory · Physics 2023-06-26 Antonio Amariti , Massimo Bianchi , Marco Fazzi , Salvo Mancani , Fabio Riccioni , Simone Rota

We consider the generalization of the S-duality transformation previously investigated in the context of the FQHE and s-wave superconductivity to p-wave superconductivity in 2+1 dimensions in the framework of the AdS/CFT correspondence. The…

High Energy Physics - Theory · Physics 2018-01-16 Alexander Gorsky , Elena Gubankova , Rene Meyer , Andrey Zayakin

Any local unitary 3d $\mathcal{N}=4$ superconformal field theory (SCFT) has a corresponding "universal" relevant deformation that takes it to a gapped phase. This deformation preserves all continuous internal symmetries, $\mathcal{S}$, and…

In this note we study the reduction of 4d Seiberg duality to 3d for SP(2N) SQCD with an adjoint field. We follow a general prescription that consists in compactifying the dual 4d theories on the circle. This generates an effective 3d…

High Energy Physics - Theory · Physics 2017-05-26 Antonio Amariti

We study Aharony dualities for 3d N=2 gauge theories of classical gauge group with one adjoint and fundamental matters. We work out the 3d superconformal index for the dual pairs to find the perfect matchings. Along with it, we enumerate…

High Energy Physics - Theory · Physics 2015-06-15 Hyungchul Kim , Jaemo Park

Recently an algorithm to dualize a theory into its mirror dual has been proposed, both for $3d$ $\mathcal{N}=4$ linear quivers and for their $4d$ $\mathcal{N}=1$ uplift. This mimics the manipulations done at the level of the Type IIB brane…

High Energy Physics - Theory · Physics 2023-07-12 Riccardo Comi , Chiung Hwang , Fabio Marino , Sara Pasquetti , Matteo Sacchi