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Related papers: Planar Abelian Duals of Chern-Simons QCD

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We propose a new class of infrared dualities relating three-dimensional $\mathcal{N}=2$ $USp(2N)$ Chern--Simons SQCD to planar Abelian quiver gauge theories. These dual descriptions are constructed via real mass deformations of established…

High Energy Physics - Theory · Physics 2026-05-11 Sergio Benvenuti , Vittorio Cagioni , Simone Rota , Anant Shri

We construct novel fermion-fermion dualities in $2+1$-dimensions using 3d bosonization dualities. This is achieved by relating two-node quiver theories using both the flavor-bounded and flavor-violated 3d bosonization dualities. Such…

High Energy Physics - Theory · Physics 2020-01-29 Kyle Aitken , Changha Choi , Andreas Karch

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…

High Energy Physics - Theory · Physics 2018-09-26 Kyle Aitken , Andrew Baumgartner , Andreas Karch

Three dimensional bosonization is a conjectured duality between non-supersymmetric Chern-Simons theories coupled to matter fields in the fundamental representation of the gauge group. There is a well-established supersymmetric version of…

High Energy Physics - Theory · Physics 2015-08-11 Guy Gur-Ari , Ran Yacoby

We provide an explicit planar Abelian dual for three-dimensional $\mathcal{N}=2$ $U(N)_k$ SQCD with $F$ fundamental chiral multiplets. This construction covers the entire $(N, F, k)$ parameter space (provided supersymmetry is unbroken),…

High Energy Physics - Theory · Physics 2026-03-11 Sergio Benvenuti , Riccardo Comi , Gabriel Pedde Ungureanu , Simone Rota , Anant Shri

We start with the recently conjectured 3d bosonization dualities and gauge global symmetries to generate an infinite sequence of new dualities. These equate theories with non-Abelian product gauge groups and bifundamental matter. We uncover…

High Energy Physics - Theory · Physics 2017-12-06 Kristan Jensen , Andreas Karch

We extend the recently proposed symmetry breaking scenario of QCD$_3$ to the so-called "master" $(2+1)$d bosonization duality, which has bosonic and fermionic matter on both ends. Using anomaly arguments, a phase diagram emerges with…

High Energy Physics - Theory · Physics 2020-03-18 Kyle Aitken , Andrew Baumgartner , Changha Choi , Andreas Karch

We establish the action of the three-dimensional non-Abelian bosonization dualities in the presence of a boundary, which supports a non-anomalous two-dimensional theory. In particular, we generalize a prescriptive method for assigning…

High Energy Physics - Theory · Physics 2018-06-13 Kyle Aitken , Andreas Karch , Brandon Robinson

We show that the functional bosonization procedure can be generalized in such a way that, to any field theory with a conserved Abelian charge in (2+1) dimensions, there corresponds a dual Abelian gauge field theory. The properties of this…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , V. E. R. Lemes , L. E. Oxman , S. P. Sorella , O. S. Ventura

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 $\mathcal{N}\ge 4$…

High Energy Physics - Theory · Physics 2025-09-25 Hirotaka Hayashi , Tomoki Nosaka , Tadashi Okazaki

We show that a broad class of three-dimensional $\mathcal{N}=2$ chiral Chern-Simons gauge theories admit an abelian and planar dual description. These chiral-planar dualities emerge by performing real mass deformations on known…

High Energy Physics - Theory · Physics 2025-07-04 Sergio Benvenuti , Riccardo Comi , Sara Pasquetti , Gabriel Pedde Ungureanu , Simone Rota , Anant Shri

We consider the lagrangian description of Argyres-Douglas theories of type $A_{2N-1}$, which is a $SU(N)$ gauge theory with an adjoint and one fundamental flavor. An appropriate reformulation allows us to map the moduli space of vacua…

High Energy Physics - Theory · Physics 2017-12-06 Sergio Benvenuti , Simone Giacomelli

We study generalized electric/magnetic duality in Abelian gauge theory by combining techniques from locally covariant quantum field theory and Cheeger-Simons differential cohomology on the category of globally hyperbolic Lorentzian…

High Energy Physics - Theory · Physics 2017-01-12 Christian Becker , Marco Benini , Alexander Schenkel , Richard J. Szabo

We propose new infinite families of non-supersymmetric IR dualities in three space-time dimensions, between Chern-Simons gauge theories (with classical gauge groups) with both scalars and fermions in the fundamental representation. In all…

High Energy Physics - Theory · Physics 2019-07-17 Francesco Benini

We present an identity relating the partition function of N=4 supersymmetric QED to that of its dual under mirror symmetry. The identity is a generalized Fourier transform. Many known properties of abelian theories can be derived from this…

High Energy Physics - Theory · Physics 2010-02-03 Anton Kapustin , Matthew J. Strassler

We clarify how mirror symmetry acts on 3d theories with N=2,3 or 4 supersymmetries and non-abelian Chern-Simons terms and then construct many new examples. We identify a new duality, geometric duality, that allows us to generate large…

High Energy Physics - Theory · Physics 2009-09-28 Kristan Jensen , Andreas Karch

We explore new infrared dualities in $(2+1)$-dimensional quantum field theories involving Majorana fermions. Building on the recently proposed operator-deformation approach to bosonization dualities, we incorporate the bosonization of…

High Energy Physics - Theory · Physics 2026-02-16 Andrea Amoretti , Matteo Anselmi , Daniel K. Brattan

We analyze the phases of supersymmetric chiral gauge theories with an antisymmetric tensor and (anti)fundamental flavors, in the presence of a classically marginal superpotential deformation. Varying the number of flavors that appear in the…

High Energy Physics - Theory · Physics 2015-05-30 Nathaniel Craig , Rouven Essig , Anson Hook , Gonzalo Torroba

We show that abelian bosonization of 1+1 dimensional fermion systems can be interpreted as duality transformation and, as a conseguence, it can be generalized to arbitrary dimensions in terms of gauge forms of rank $d-1$, where $d$ is the…

High Energy Physics - Theory · Physics 2007-05-23 P. A. Marchetti

The recent proposal of non-Abelian boson-fermion dualities in 2+1 dimensions, which morally relate $U(k)_N$ to $SU(N)_{-k}$ Chern-Simons-matter theories, presents a new platform for exploring the landscape of non-Abelian quantum Hall states…

Strongly Correlated Electrons · Physics 2020-12-03 Hart Goldman , Ramanjit Sohal , Eduardo Fradkin
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