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It is shown that in all odd dimensional Chern-Simons theories states in which the torsion is non zero (but it can approach smoothly to zero outside suitable regions) do exist. Some possible observational effects related to neutrino…

General Relativity and Quantum Cosmology · Physics 2008-07-02 F. Canfora

We study the effects of the Chern-Simons term in the hydrodynamics of the five-dimensional Reissner-Nordstrom-AdS background. We work out the decoupling problem of the equations of motion and calculate the retarded Green functions…

High Energy Physics - Theory · Physics 2010-05-27 Yoshinori Matsuo , Sang-Jin Sin , Shingo Takeuchi , Takuya Tsukioka

The effective average actions for gauge theories and the associated nonperturbative evolution equations which govern their renormalization group flow are reviewed and various applications are described. As an example of a topological field…

High Energy Physics - Theory · Physics 2007-05-23 M. Reuter

We derive the exact dual theory of a lattice Ginzburg-Landau theory with an additional topological Chern-Simons (CS) term. It is shown that in the zero-temperature limit, the statistical parameter $\theta=1/2\pi$ corresponds to a fixed…

Superconductivity · Physics 2007-05-23 Hagen Kleinert , Flavio S. Nogueira

The Chern-Simons exact solution of four-dimensional quantum gravity with nonvanishing cosmological constant is presented in metric variable as the partition function of a Chern-Simons theory with nontrivial source. The perturbative…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Chopin Soo

We study a class of generalized Chern-Simons equations on discrete lattice graphs. By an iterative scheme combined with an exhaustion argument, we establish the existence of topological solutions, which is also the maximal topological…

Analysis of PDEs · Mathematics 2026-01-09 Songbo Hou

A Chern--Simons system in $2+1$ dimensions invariant under local Lorentz rotations, $SU(2)$ gauge transformations, and local $\mathcal{N}=2$ supersymmetry transformations is proposed. The field content is that of $(2+1)$-gravity plus an…

High Energy Physics - Theory · Physics 2015-08-26 Pedro D. Alvarez , Pablo Pais , Eduardo Rodríguez , Patricio Salgado-Rebolledo , Jorge Zanelli

We invoke universal Chern-Simons theory to analytically calculate the exact free energy of the refined topological string on the resolved conifold. In the unrefined limit we reproduce non-perturbative corrections for the resolved conifold…

High Energy Physics - Theory · Physics 2015-06-15 Daniel Krefl , Ruben L. Mkrtchyan

An N=1--supersymmetric version of the Cremmer-Scherk-Kalb-Ramond model with non-minimal coupling to matter is built up both in terms of superfields and in a component-field formalism. By adopting a dimensional reduction procedure, the…

High Energy Physics - Theory · Physics 2009-10-31 H. R. Christiansen , M. S. Cunha , J. A. Helayel-Neto , L. R. U. Manssur , A. L. M. A. Nogueira

The exact free energy of SU($N$) Chern-Simons theory at level $k$ is expanded in powers of $(N+k)^{-2}.$ This expansion keeps rank-level duality manifest, and simplifies as $k$ becomes large, keeping $N$ fixed (or vice versa)---this is the…

High Energy Physics - Theory · Physics 2010-11-01 Vipul Periwal

We study the role played by a Chern-Simons contribution to the action in the $QED_3$ formulation of a two-dimensional Heisenberg model of quantum spin systems with a strictly fixed site occupation at finite temperature. We show how this…

Strongly Correlated Electrons · Physics 2007-05-23 Raoul Dillenschneider , Jean Richert

We calculate the linearized four-dimensional gravitational Chern-Simons term at the finite temperature, show its finiteness and explicitly demonstrate that its transversal part matches the known result for the chiral vortical conductivity.

High Energy Physics - Theory · Physics 2018-08-16 J. F. Assuncao , T. Mariz , J. R. Nascimento , A. Yu. Petrov

We study 2+1 Chern-Simons gravity at the classical action level. In particular we rederive the linear combinations of the ``standard'' and ``exotic'' Einstein actions, from the (anti) self-duality of the ``internal'' Lorentzian indices. The…

High Energy Physics - Theory · Physics 2009-10-31 H. Garcia-Compean , O. Obregon , C. Ramirez , M. Sabido

In this work we study the dynamical generation of mass in the massless N=1 Wess-Zumino model in a three dimensional spacetime. Using the tadpole method to compute the effective potential, we observe that supersymmetry is dynamicaly broken…

High Energy Physics - Theory · Physics 2008-11-26 A. C. Lehum

We construct a 2+1 dimensional model that sustains superconductivity at all temperatures. This is achieved by introducing a Chern Simons mixing term between two Abelian gauge fields A and Z. The superfluid is described by a complex scalar…

High Energy Physics - Theory · Physics 2016-01-13 Mohamed M. Anber , Yannis Burnier , Eray Sabancilar , Mikhail Shaposhnikov

Reducing a 3-dimensional Chern-Simons term by a symmetry yields other topologically interesting structures. Specifically, reducing by radial symmetry results in a 1-dimensional quantum mechanical model, which has recently been used in an…

High Energy Physics - Theory · Physics 2014-11-18 R. Jackiw , S. -Y. Pi

Using a variation of Lueschers geometric charge definition for SU(2) lattice gauge theory, we have managed to give a geometric expression for it's Chern-Simons ter. From this definition we have checked the periodic structure. we determined…

High Energy Physics - Lattice · Physics 2011-04-20 F. Karsch , M. L. Laursen , T. Neuhaus , B. Plache , U. -J. Wiese

It is shown that the topological action for gravity in 2n-dimensions can be obtained from the 2n+1-dimensional Chern-Simons gravity genuinely invariant under the Poincare group. The 2n-dimensional topological gravity is described by the…

High Energy Physics - Theory · Physics 2010-01-11 Nelson Merino , Alfredo Perez , Patricio Salgado

Higher dimensional Chern-Simons theories, even though constructed along the same topological pattern as in 2+1 dimensions, have been shown recently to have generically a non-vanishing number of degrees of freedom. In this paper, we carry…

High Energy Physics - Theory · Physics 2009-10-30 Maximo Banados , Luis J. Garay , Marc Henneaux

Chern-Simons gravities are theories with a lagrangian given by a Chern-Simons form constructed from a space-time gauge group. In previous investigations we showed that, for some special field configurations that are solutions of the field…

High Energy Physics - Theory · Physics 2015-06-22 Pablo Mora