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In this article we review some of the recent advances regarding the charged vortex solutions in abelian and nonabelian gauge theories with Chern-Simons (CS) term in two space dimensions. Since these nontrivial results are essentially…

High Energy Physics - Theory · Physics 2011-03-28 Avinash Khare

It is well known that Chern-Simons Theories are in the constrained systems and their total Hamiltonians become identically zero, because of their gauge invariance. While treating the constraints quantum mechanially, it will be expected taht…

High Energy Physics - Theory · Physics 2013-02-25 M. Nakamura

This study examines on-shell supersymmetry breaking in the Abelian $\mathcal{N}=1$ Chern-Simons-matter model within a three-dimensional spacetime. The classical Lagrangian is scale-invariant, but two-loop radiative corrections to the…

High Energy Physics - Theory · Physics 2023-05-22 A. C. Lehum

We introduce an exactly solvable SU(2) symmetric Kitaev model with exotic spin excitations. With time reversal symmetry (TRS), the ground state is a spin liquid with gapless or gapped spin-1 but fermionic excitations. When TRS is broken,…

Strongly Correlated Electrons · Physics 2011-08-29 Hong Yao , Dung-Hai Lee

Recent derivations of Cardy-like formulae in higher dimensional field theories have opened up a way of computing, via AdS/CFT, universal contributions to black hole entropy from gravitational Chern-Simons terms. Based on the manifestly…

High Energy Physics - Theory · Physics 2015-10-28 Tatsuo Azeyanagi , R. Loganayagam , Gim Seng Ng

We study the behaviour of Wilson and 't Hooft loop operators for the 2+1 dim. Abelian-Higgs model with Chern-Simons term. The phase of topological symmetry breaking where the vortex field condenses, found by Samuel for the model in the…

High Energy Physics - Theory · Physics 2007-05-23 P. W. Irwin , M. B. Paranjape

We develop a method for relating the boundary effective action associated with an orbifold of the D+1 dimensional theory of a p-form field to D dimensional fluxed Chern-Simons type of terms. We apply the construction to derive from twelve…

High Energy Physics - Theory · Physics 2007-05-23 Nikos Irges , Mirian Tsulaia

Chern-Simons orbital magnetoelectric (OME) coupling is usually the hallmark of nontrivial band topology in three-dimensional (3D) crystalline insulators. However, if a 3D insulator exhibits nonzero Chern number within any two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2025-02-20 Yang Xue , Jianpeng Liu

The topological nature of Chern-Simons term describing the interaction of a charge with magnetic monopole is manifested in two ways: it changes the plane dynamical geometry of a free particle for the cone dynamical geometry without…

High Energy Physics - Theory · Physics 2009-10-31 Mikhail S. Plyushchay

Parity violating superconductors can support a low-dimension local interaction that becomes, upon condensation, a purely spatial Chern-Simons term. Solutions to the resulting generalized London equations can be obtained from solutions of…

Mesoscale and Nanoscale Physics · Physics 2024-02-27 Marcus Stålhammar , Darya Rudneva , Thors Hans Hansson , Frank Wilczek

This is a companion paper of a long work appeared in [1] discussing the super-Chern-Simons theory on supermanifolds. Here, it is emphasized that the BV formalism is naturally formulated using integral forms for any supersymmetric and…

High Energy Physics - Theory · Physics 2020-07-15 C. A. Cremonini , P. A. Grassi

We present a (2+1)-dimensional gauged $O(3) \sigma$-model with an Abelian Chern--Simons term. It shows topologically stable, anyonic vortices as classical solutions. The fields are studied in the case of rotational symmetry and analytic…

High Energy Physics - Theory · Physics 2008-02-03 J. Gladikowski

Chern-Simons theory on a closed contact three-manifold is studied when the Lie group for gauge transformations is compact, connected and abelian. A rigorous definition of an abelian Chern-Simons partition function is derived using the…

Mathematical Physics · Physics 2015-06-11 Brendan McLellan

We present a Wannier-based method to calculate the Chern-Simons orbital magnetoelectric coupling in the framework of first-principles density-functional theory. In view of recent developments in connection with strong Z2 topological…

Materials Science · Physics 2012-05-16 Sinisa Coh , David Vanderbilt , Andrei Malashevich , Ivo Souza

This thesis studies the algebro-geometric aspects of supersymmetric abelian gauge theories in three dimensions. The supersymmetric vacua are demonstrated to exhibit a window phenomenon in Chern-Simons levels, which is analogous to the…

High Energy Physics - Theory · Physics 2022-11-01 Guangyu Xu

We show that the five-dimensional Maxwell theory with the Chern-Simons term is tachyonic in the presence of a constant electric field. When coupled to gravity, a sufficiently large Chern-Simons coupling causes instability of the…

High Energy Physics - Theory · Physics 2010-04-06 Shin Nakamura , Hirosi Ooguri , Chang-Soon Park

We study the onset of symmetry breaking after hybrid inflation in a model having the field content of the SU(2) gauge-scalar sector of the standard model, coupled to a singlet inflaton. This process is studied in (3+1)-dimensions in a fully…

High Energy Physics - Phenomenology · Physics 2009-11-10 Juan Garcia-Bellido , Margarita Garcia Perez , Antonio Gonzalez-Arroyo

We introduce the self-dual abelian gauged $O(3)$ sigma models where the Maxwell and Chern-Simons terms constitute the kinetic terms for the gauge field. These models have quite rich structures and various limits. Our models are found to…

High Energy Physics - Theory · Physics 2009-10-28 Kyoungtae Kimm , Kimyeong Lee , Taejin Lee

Non-Abelian gauge theories "live" in a space-time with non-trivial topology that can be characterized by an odd-dimensional Chern-Simons form. In QCD, Chern-Simons form is induced by the chiral anomaly and the presence of topological…

High Energy Physics - Phenomenology · Physics 2009-11-18 Dmitri E. Kharzeev

We investigate properties of the five-dimensional Chern--Simons AdS black hole coupled to $\mathrm{SU}(2)$ solitons by means of a minisuperspace approximation adapted to static, spherically symmetric configurations. The reduced action…

High Energy Physics - Theory · Physics 2026-04-15 Laura Andrianopoli , Dušan Đorđević , Olivera Miskovic
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