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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)…

高能物理 - 理论 · 物理学 2009-12-10 Marcus Benna , Igor Klebanov , Thomas Klose , Mikael Smedbäck

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

The Chern-Simons theory defined on a 3-dimensional manifold with boundary is written as a two-dimensional field theory defined only on the boundary of the three-manifold. The resulting theory is, essentially, the pullback to the boundary of…

高能物理 - 理论 · 物理学 2011-08-09 Alejandro Gallardo , Merced Montesinos

We study ${\mathcal{N}}=2$ supersymmetric $U(N)$ Chern-Simons with $N_{f}$ fundamental and $N_{f}$ antifundamental chiral multiplets of mass $m$ in the complete parameter space spanned by $(g,\,m,\,N,\,N_{f})$, where $g$ denotes the…

高能物理 - 理论 · 物理学 2015-06-16 Jorge G. Russo , Guillermo A. Silva , Miguel Tierz

The field equations of the Chern-Simons theory quantized in the axial gauge are shown to be completely determined by supersymmetry Ward identities which express the invariance of the theory under the topological supersymmetry of Delduc,…

高能物理 - 理论 · 物理学 2007-05-23 S. Emery , O. Piguet

Despite the nice geometrical properties of higher dimensional Chern-Simons (CS) supergravity theories these actions suffer from one major drawback, namely, their connection with the real world. After some quick remarks on three-dimensional…

高能物理 - 理论 · 物理学 2009-10-31 M. Banados

This paper investigates the holographic realization of anyons in \(SU(N)_k\) Chern-Simons theory within the AdS/CFT framework. The study extends traditional models, such as \(SU(2)\), to higher-rank groups like \(SU(3)\) and \(SU(4)\),…

高能物理 - 理论 · 物理学 2025-05-23 Tzu-Miao Chou

We study the relation between the frame-like and metric-like formulation of higher-spin gauge theories in three space-time dimensions. We concentrate on the theory that is described by an SL(3) x SL(3) Chern-Simons theory in the frame-like…

高能物理 - 理论 · 物理学 2015-06-22 Stefan Fredenhagen , Pan Kessel

In view of extending gauge/gravity dualities with flavour beyond the probe approximation, we establish the gravity dual description of mesons for a three-dimensional super Yang-Mills theory with fundamental matter. For this purpose we…

高能物理 - 理论 · 物理学 2008-11-26 Johanna Erdmenger , Ingo Kirsch

Chamseddine and Mukhanov showed that gravity and gauge theories could be unified in one geometric construction provided that a metricity condition is imposed on the vielbein. In this paper we are going to show that by enlarging the gauge…

高能物理 - 理论 · 物理学 2017-12-06 Chireen A. Saghir , Laurence W. Shamseddine

We discuss 3d $\mathcal{N}=1$ supersymmetric SU(N) and U(N) Chern-Simons-matter theories, with $N_f$ matter superfields in the fundamental representation of SU(N) or U(N). In the large N 't Hooft limit with fixed 't Hooft coupling $\lambda$…

高能物理 - 理论 · 物理学 2019-09-04 Ofer Aharony , Adar Sharon

In these lectures I review classical aspects of the self-dual Chern-Simons systems which describe charged scalar fields in $2+1$ dimensions coupled to a gauge field whose dynamics is provided by a pure Chern-Simons Lagrangian. These…

高能物理 - 理论 · 物理学 2015-06-26 Gerald Dunne

We examine the black hole solutions of dS$_3$ gravity by applying the explicit dS$_3$/CFT$_2$ correspondence. The gravity theory is described by Chern-Simons theory with complex gauge group SL$(2,\mathbb{C})$, and the complexified theory is…

高能物理 - 理论 · 物理学 2023-08-31 Heng-Yu Chen , Yasuaki Hikida , Yusuke Taki , Takahiro Uetoko

Chern-Simons field theory based on a compact non-abelian gauge group is studied as a theory of knots and links in three dimensions. A method to obtain the invariants for links made from braids of upto four strands is developed. This…

高能物理 - 理论 · 物理学 2009-10-22 P. Rama Devi , T. R. Govindarajan , R. K. Kaul

Three dimensional Yang-Mills gauge theories in the presence of the Chern-Simons action are seen as being generated by the pure topological Chern-Simons term through nonlinear covariant redefinitions of the gauge field

高能物理 - 理论 · 物理学 2009-10-31 V. E. R. Lemes , C. Linhares de Jesus , S. P. Sorella , L. C. Q. Vilar , O. S. Ventura

We propose a new group-theoretical (Chern-Simons) formulation for the bi-metric theory of gravity in (2+1)-dimensional spacetime which describe two interacting massless spin-2 fields. Our model has been formulated in terms of two dreibeins…

高能物理 - 理论 · 物理学 2018-04-25 S. Hoseinzadeh , A. Rezaei-Aghdam

We investigate static, spherically symmetric solutions of an Einstein-Yang-Mills-Chern-Simons system with negative cosmological constant, for an SO(6) gauge group. For a particular value of the Chern-Simons coefficient, this model can be…

高能物理 - 理论 · 物理学 2013-05-29 Yves Brihaye , Eugen Radu , D. H. Tchrakian

We study three dimensional conformal field theories described by U(N) Chern-Simons theory at level k coupled to massless fermions in the fundamental representation. By solving a Schwinger-Dyson equation in lightcone gauge, we compute the…

高能物理 - 理论 · 物理学 2015-05-30 Simone Giombi , Shiraz Minwalla , Shiroman Prakash , Sandip P. Trivedi , Spenta R. Wadia , Xi Yin

We study the (in)stability around the dynamical gap solution of the $U(N)$ Chern-Simons gauge theory with fundamental fermions (massless or massive) coupled in $D=3$ at large $N$. Explicit analyses on both the Auxiliary-Field (AF) and the…

高能物理 - 理论 · 物理学 2016-10-04 Chen Zhang

We discuss several aspects of three dimensional N=2 supersymmetric gauge theories coupled to chiral multiplets. The generation of Chern-Simons couplings at low-energies results in novel behaviour including compact Coulomb branches,…

高能物理 - 理论 · 物理学 2010-02-03 David Tong