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Related papers: 4D Chern-Simons theory with auxiliary fields

200 papers

According to the recent proposal by Aharony, Bergman, Jafferis and Maldacena the N=6 supersymmetric Chern-Simons theory in three dimensions has a 't Hooft limit whose holographic dual is described by type IIA superstings on AdS_4 x CP^3…

High Energy Physics - Theory · Physics 2010-04-06 Gleb Arutyunov , Sergey Frolov

In this paper we study the consequences of the introduction of a flat boundary on a 4D covariant rank-2 gauge theory described by a linear combination of linearized gravity and covariant fracton theory. We show that this theory gives rise…

High Energy Physics - Theory · Physics 2023-07-14 Erica Bertolini , Nicola Maggiore , Giandomenico Palumbo

We construct the $\mathcal{N}=2$ supersymmetric extensions of different models containing a Chern-Simons term and study their BPS structure. We find that the coupling of the Chern-Simons term to the general gauged nonlinear $\sigma$-model…

High Energy Physics - Theory · Physics 2019-01-15 Jose M. Queiruga

We study the Hamiltonian dynamics of a five-dimensional Chern-Simons theory for the gauge algebra $C_5$ of Izaurieta, Rodriguez and Salgado, the so-called S$_H$-expansion of the 5D (anti-)de Sitter algebra (a)ds, based on the cyclic group…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Matheus M. A. Paixão , Olivier Piguet

We present integrable deformations of Yang-Baxter (YB) sigma models based on the Courant-Hilbert (CH) construction. To this end, we employ the four-dimensional Chern-Simons theory, in which the CH construction is shown in arXiv:2509.22080.…

High Energy Physics - Theory · Physics 2026-05-26 Osamu Fukushima , Takaki Matsumoto , Kentaroh Yoshida

We study 2+1 dimensional gauge theories with a Chern-Simons term and a fermion in the adjoint representation. We apply general considerations of symmetries, anomalies, and renormalization group flows to determine the possible phases of the…

High Energy Physics - Theory · Physics 2018-07-25 Jaume Gomis , Zohar Komargodski , Nathan Seiberg

We consider twist-L operators in the planar N=6 superconformal Chern-Simons ABJM theory. Their anomalous dimension gamma_L^{CS}(N) is a function of the twist L, the spin N, and the dressed coupling of ABJM. We show that at next-to-leading…

High Energy Physics - Theory · Physics 2009-09-28 Matteo Beccaria , Guido Macorini

With the goal of constructing the supersymmetric action for all fields, massless and massive, obtained by Kaluza-Klein compactification from type II theory or M-theory in a closed form, we embed the (Abelian) tensor hierarchy of p-forms in…

High Energy Physics - Theory · Physics 2016-04-20 Katrin Becker , Melanie Becker , William D Linch , Daniel Robbins

A few years ago, some of us devised a method to obtain integrable systems in (2+1)-dimensions from the classical non-Abelian pure Chern-Simons action via reduction of the gauge connection in Hermitian symmetric spaces. In this paper we show…

Exactly Solvable and Integrable Systems · Physics 2009-10-31 L. Martina , Kur. Myrzakul , R. Myrzakulov , G. Soliani

The possibility of a Chern-Simons like term generation in an extended model of QED, in which a Lorentz and CPT non-covariant interaction term for fermions is present, has been investigated at finite temperature and in the presence of a…

High Energy Physics - Theory · Physics 2009-11-10 D. Ebert , V. Ch. Zhukovsky , A. S. Razumovsky

We formulate a 4-dimensional higher gauge theoretic Chern-Simons theory. Its symmetry is encoded in a semistrict Lie 2-algebra equipped with an invariant non singular bilinear form. We analyze the gauge invariance of the theory and show…

High Energy Physics - Theory · Physics 2015-06-19 Emanuele Soncini , Roberto Zucchini

We show that the approaches to integrable systems via 4d Chern-Simons theory and via symmetry reductions of the anti-self-dual Yang-Mills equations are closely related, at least classically. Following a suggestion of Kevin Costello, we…

High Energy Physics - Theory · Physics 2023-08-31 Roland Bittleston , David Skinner

We construct the D=3, N=5 harmonic superspace using the SO(5)/U(1) x U(1) harmonics. Three gauge harmonic superfields satisfy the off-shell constraints of the Grassmann and harmonic analyticities. The corresponding component supermultiplet…

High Energy Physics - Theory · Physics 2008-11-26 B. M. Zupnik

We discuss alternative definitions of the semiclassical partition function in two-dimensional CFTs with higher spin symmetry, in the presence of sources for the higher spin currents. Theories of this type can often be described via…

High Energy Physics - Theory · Physics 2018-10-09 Jan de Boer , Juan I. Jottar

In contrast to its counterpart in a vector theory, the effective action of a chiral gauge theory may have a non-vanishing imaginary part. It consists of the so-called Chern-Simons form, which encodes the anomaly and a gauge invariant piece…

High Energy Physics - Lattice · Physics 2007-05-23 V. Bornyakov , A. Hoferichter , G. Schierholz , A. Thimm

We construct supersymmetric deformations of general, locally supersymmetric, nonlinear sigma models in three spacetime dimensions, by extending the pure supergravity theory with a Chern-Simons term and gauging a subgroup of the sigma model…

High Energy Physics - Theory · Physics 2010-04-05 Bernard de Wit , Ivan Herger , Henning Samtleben

We construct and study a new topological field theory in three dimensions. It is a hybrid between Chern-Simons and Rozansky-Witten theory and can be regarded as a topologically-twisted version of the N=4 d=3 supersymmetric gauge theory…

High Energy Physics - Theory · Physics 2015-05-13 Anton Kapustin , Natalia Saulina

We derive the Faddeev-Reshetikhin (FR) model from a four-dimensional Chern- Simons theory with two order surface defects by following the work by Costello and Yamazaki [arXiv:1908.02289]. Then we present a trigonometric deformation of the…

High Energy Physics - Theory · Physics 2021-03-17 Osamu Fukushima , Jun-ichi Sakamoto , Kentaroh Yoshida

We deform classical holomorphic Chern--Simons theory on a Calabi--Yau three-fold $X$ by deforming the complex structure by a deformation parameter $h \in\mathscr{H}^{0,1}(T^{1,0}X)$. The corresponding equations of motion admit new…

High Energy Physics - Theory · Physics 2026-04-28 Eirik Høgmoe Kjelsnes , Eirik Eik Svanes , Vegard Undheim

Anomaly-induced transport phenomena in presence of strong external electromagnetic fields are explored within a 4D field theory defined holographically as $U(1)_V\times U(1)_A$ Maxwell-Chern-Simons theory in Schwarzschild-$AdS_5$. Two…

High Energy Physics - Theory · Physics 2019-06-05 Yanyan Bu , Tuna Demircik , Michael Lublinsky