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We reinterpret U(N) Chern-Simons-Witten theory quantized on a torus as a free fermion system. Its Hilbert space and some observables are simply related to those of group quantum mechanics, even at finite N and k. Its large N limit can be…

High Energy Physics - Theory · Physics 2009-09-25 Michael R. Douglas

We investigate a sequence of quadratic topological terms of the Chern-Simons type in different spacetime dimensions, related by dimensional compactification and sharing the properties of topological mass generation and statistical…

High Energy Physics - Theory · Physics 2009-11-07 J. Barcelos-Neto , E. C. Marino

We consider the nondynamical Chern-Simons (nCS) modified gravity, which is regarded as a parity-odd theory of massive gravity in four dimensions. We first find polarization modes of gravitational waves for $\theta=x/\mu$ in nCS modified…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Yun Soo Myung , Taeyoon Moon

We construct a ``pseudo-supersymmetric" fermionic extension of the effective action of the bosonic string in arbitrary spacetime dimension D. The theory is invariant under pseudo-supersymmetry transformations up to the quadratic fermion…

High Energy Physics - Theory · Physics 2015-05-28 H. Lu , C. N. Pope , Zhao-Long Wang

The role of Chern-Simons (CS) actions is reviewed, starting from the observation that all classical actions in Hamiltonian form can be viewed as 0+1 CS systems, in the same class with the coupling between the electromagnetic field and a…

High Energy Physics - Theory · Physics 2009-12-04 Jorge Zanelli

Chern-Simons gauge theories in 2+1 dimensions with multiple gauge fields exhibit novel properties that are analysed here in some detail. A striking feature is the possibility of a non-propagating Chern-Simons field acquiring a massless…

High Energy Physics - Theory · Physics 2015-05-30 Sunil Mukhi

We comment on the calculation of the Chern-Simons coefficient in (2+1)-dimensional gauge theories at finite chemical potential made by A.N.Sissakian, O.Yu.Shevchenko and S.B.Solganik (hep-th/9608159 and hep-th/9612140).

High Energy Physics - Theory · Physics 2007-05-23 Vadim Zeitlin

We investigate the effects of (Curvature)$^{2}$- and (Torsion)$^{2}$- terms in the Einstein-Hilbert-Chern-Simons Lagrangian. The purposes are two-fold: (i) to show the efficacy of an orthogonal basis of degree-of-freedom projection…

High Energy Physics - Theory · Physics 2014-11-21 J. A. Helayël-Neto , C. A. Hernaski , B. Pereira-Dias , A. A. Vargas-Paredes , V. J. Vasquez-Otoya

By using the gauge-invariant but path-dependent, variables formalism, we consider a recently proposed topologically massive $U{\left( 1 \right)_{\cal W}} \times U{(1)_{\cal Y}}$ Chern-Simons-Higgs theory in $2+1$ dimensions. In particular,…

High Energy Physics - Theory · Physics 2016-04-14 Patricio Gaete , José A. Helayël-Neto

Tha quantum electrodynamics of particles constrained to move on a plane is not a fully dimensionally reduced theory because the gauge fields through which they interact live in higher dimensions. By constraining the gauge field to the…

Superconductivity · Physics 2025-02-24 Yi-Hui Xing , Lin Zhuang , E. C. Marino , Wu-Ming Liu

We study large $N$ 2+1 dimensional fermions in the fundamental representation of an $SU(N)_k$ Chern Simons gauge group in the presence of a uniform background magnetic field for the $U(1)$ global symmetry of this theory. The magnetic field…

High Energy Physics - Theory · Physics 2020-01-08 Indranil Halder , Shiraz Minwalla

We test the consistency of the use of a noncommutative theory description for charged particles in a strong magnetic field, by deriving the induced Chern-Simons (CS) term for an external Abelian gauge field in 2+1 dimensions. In this…

High Energy Physics - Theory · Physics 2008-11-26 M. L. Ciccolini , C. D. Fosco , A. Lopez

We study a non-Abelian Chern-Simons gauge theory in $ 2+ 1$ dimensions with the inclusion of an anomalous magnetic interaction. For a particular relation between the Chern-Simons (CS) mass and the anomalous magnetic coupling the equations…

High Energy Physics - Theory · Physics 2009-10-28 Armando Antillón , Joaquín Escalona , Gabriel Germán , Manuel Torres

We quantize a generalized electromagnetism in 2 + 1 dimensions which contains a higher-order derivative term by using Dirac's method. By introducing auxiliary fields we transform the original theory in a lower-order derivative one which can…

High Energy Physics - Theory · Physics 2007-05-23 A. de Souza Dutra , Marcelo Hott

We propose a new, generic mechanism of inflation mediated by a balance between potential forces and a Chern-Simons interaction. Such quasi-topological interactions are ubiquitous in string theory. In the minisuperspace approximation, their…

High Energy Physics - Theory · Physics 2013-02-13 Emil Martinec , Peter Adshead , Mark Wyman

The technique of extended dualization developed in this paper is used to bosonize quantized fermion systems in arbitrary dimension $D$ in the low energy regime. In its original (minimal) form, dualization is restricted to models wherein it…

High Energy Physics - Theory · Physics 2011-07-19 José Luis Cortés , Elena Rivas , Luis Velázquez

In three dimensions, there are two distinct mass-generating mechanisms for gauge fields: adding the usual Proca/Pauli-Fierz, or the more esoteric Chern-Simons (CS), terms. Here we analyze the three-term models where both types are present,…

High Energy Physics - Theory · Physics 2009-11-07 S. Deser , Bayram Tekin

Bosonization techniques are important nonperturbative tools in quantum field theory. In three dimensions they possess interesting connections to topologically ordered systems and ultimately have driven the observation of an impressive web…

High Energy Physics - Theory · Physics 2018-07-27 Carlos A. Hernaski , Pedro R. S. Gomes

Bosonic quantum field theories with holomorphic action functionals are realized by two types of constructions involving supersymmetric quantum field theories, compactified on an interval in one type and compactified on a disk and deformed…

High Energy Physics - Theory · Physics 2020-07-02 Nafiz Ishtiaque , Junya Yagi

We study renormalization effects in the Abelian Chern-Simons (CS) action. These effects can be non-trivial when the gauge field is coupled to dynamical matter, since the regularization of the UV divergences in the model forces the…

High Energy Physics - Theory · Physics 2016-09-06 C. D. Fosco , A. Lopez