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A novel approach to the analysis of a noncommutative Chern--Simons gauge theory with matter coupled in the adjoint representation has been discussed. The analysis is based on a recently proposed closed form Seiberg--Witten map which is…

High Energy Physics - Theory · Physics 2009-11-10 Pradip Mukherjee , Anirban Saha

We present results for the planar contribution to the four-loop anomalous dimension for a general N=2 supersymmetric Chern-Simons theory in three dimensions. These results should facilitate higher-order superconformality checks for theories…

High Energy Physics - Theory · Physics 2013-04-12 I. Jack , C. Luckhurst

In this paper, we solve the gap equation of the Yang-Mills-Gribov-Zwanziger-Chern-Simon theory by considering the first order in the Chern-Simon topological mass term, $M$. As a result, we find three possible solutions to the gap equation,…

High Energy Physics - Theory · Physics 2022-06-01 Caroline P. Felix , Chung Wen Kao

Supersymmetric localization provides exact results that should match QFT computations in some regularization scheme. The agreement is particularly subtle in three dimensions where complex answers from localization procedure sometimes arise.…

High Energy Physics - Theory · Physics 2016-07-20 Marco S. Bianchi , Luca Griguolo , Matias Leoni , Andrea Mauri , Silvia Penati , Domenico Seminara

We investigate the spectrum of the gauge theory with Chern-Simons term on the noncommutative plane, a modification of the description of the Quantum Hall fluid recently proposed by Susskind. We find a series of the noncommutative massive…

High Energy Physics - Theory · Physics 2009-11-10 G. Alexanian , D. Arnaudon , M. B. Paranjape

We comment on various aspects of the the dynamics of 3d N=2 Chern-Simons gauge theories and their possible phases. Depending on the matter content, real masses and FI parameters, there can be non-compact Higgs or Coulomb branches, compact…

High Energy Physics - Theory · Physics 2015-06-15 Kenneth Intriligator , Nathan Seiberg

We study the BPS spectrum and vacuum moduli spaces in dimensional reductions of Chern-Simons-matter theories with N>=2 supersymmetry to zero dimensions. Our main example is a matrix model version of the ABJM theory which we relate…

High Energy Physics - Theory · Physics 2014-05-07 Joshua DeBellis , Richard J. Szabo

We study three-dimensional gauge theories based on orthogonal groups. Depending on the global form of the group these theories admit discrete $\theta$-parameters, which control the weights in the sum over topologically distinct gauge…

High Energy Physics - Theory · Physics 2018-05-02 Clay Cordova , Po-Shen Hsin , Nathan Seiberg

The coupling between Chern-Simons theories and matter sources defined by branes of different dimensionalities is examined. It is shown that the standard coupling to membranes, such as the one found in supergravity or in string theory, does…

High Energy Physics - Theory · Physics 2015-05-13 Jose D. Edelstein , Jorge Zanelli

We apply the matrix model of Kapustin, Willett and Yaakov to compute the free energy of N=3 Chern-Simons matter theories with D_n quivers in the large N limit. We conjecture a general expression for the free energy that is explicitly…

High Energy Physics - Theory · Physics 2018-12-05 P. Marcos Crichigno , Christopher P. Herzog , Dharmesh Jain

We discuss a limit of 3d $T_\rho^\sigma[SU(N)]$ quiver gauge theories in which the number of nodes is large and the ranks scale quadratically with the length of the quiver. The sphere free energies and topologically twisted indices are…

High Energy Physics - Theory · Physics 2021-06-21 Lorenzo Coccia , Christoph F. Uhlemann

We study supersymmetric Wilson loops in $d=3$, $\mathcal{N}=3$ harmonic superspace, leading to a construction of a supersymmetrized generalization of the $\frac{1}{3}$-BPS Wilson loop for $\mathcal{N}=3$ gauge theories. This also includes a…

High Energy Physics - Theory · Physics 2018-06-27 Yu-tin Huang , Dharmesh Jain

We study the Wilson line defect half-indices of 3d $\mathcal{N}=2$ supersymmetric $SU(N)$ Chern-Simons theories of level $k\le -N$ with Neumann boundary conditions for the gauge fields, together with 2d Fermi multiplets and fundamental 3d…

High Energy Physics - Theory · Physics 2024-06-07 Tadashi Okazaki , Douglas J. Smith

We study three-dimensional superconformal field theories on wrapped M5-branes. Applying the gauge/gravity duality and the recently proposed 3d-3d relation, we deduce quantitative predictions for the perturbative free energy of a…

High Energy Physics - Theory · Physics 2015-09-01 Dongmin Gang , Nakwoo Kim , Sangmin Lee

In this PhD thesis, we investigate a wide class of three-dimensional massive gravity models and show how most of them (if not all) can be brought in a first-order, Chern-Simons-like, formulation. This allows for a general analysis of the…

High Energy Physics - Theory · Physics 2014-11-26 Wout Merbis

We study $U(N)_k$ Chern-Simons theory coupled to fundamental fermions and scalars in a large $N$ `t Hooft limit. We compute the thermal free energy at high temperature, as well as two- and three-point functions of simple gauge-invariant…

High Energy Physics - Theory · Physics 2020-01-29 Kristan Jensen , Priti Patil

The matrix model of ABJM theory can be formulated in terms of a Fermi gas in an external potential. We show that, in this formalism, vevs of Wilson loops correspond to averages of operators in the statistical-mechanical problem. This makes…

High Energy Physics - Theory · Physics 2015-03-20 Albrecht Klemm , Marcos Marino , Marc Schiereck , Masoud Soroush

We study the localized free energy on S^3 of three-dimensional N=2 Chern-Simons matter theories at weak coupling. We compute the two loop R charge in three different ways, namely by the standard perturbative approach, by extremizing the…

High Energy Physics - Theory · Physics 2015-05-30 Antonio Amariti , Massimo Siani

We present the one-loop scalar field effective potential for the $N=2$ supersymmetric nonrelativistic self-interacting matter fields coupled to an Abelian Chern-Simons gauge field and for its generalization when bosonic matter fields are…

High Energy Physics - Theory · Physics 2007-05-23 D. Caenepeel , M. Leblanc

We study the vacuum expectation value of half-BPS Wilson loop operators in two families of superconformal $\mathcal{N}=2$ Chern-Simons-matter theories. The first family is dual to AdS$_{4}$ solutions in M-theory, while the second one has a…

High Energy Physics - Theory · Physics 2025-11-07 Fridrik Freyr Gautason , Alexia Nix