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We discuss Wu-Yang type solutions of the Maxwell-Chern-Simons and the Yang-Mills-Chern-Simons theories. There exists a natural scale of length which is determined by the inverse topological mass. We obtain the non-abelian solution by means…

High Energy Physics - Theory · Physics 2008-07-10 K. Saygili

We discuss three mathematical structures which arise in topologically massive abelian gauge theory. First, the euclidean topologically massive abelian gauge theory defines a contact structure on a manifold. We briefly discuss three…

High Energy Physics - Theory · Physics 2008-11-26 K. Saygili

Compact nonlocal Abelian gauge theory in (2+1) dimensions, also known as loop model, is a massless theory with a critical line that is explicitly covariant under duality transformations. It corresponds to the large N_F limit of self-dual…

High Energy Physics - Theory · Physics 2020-03-18 Francesco Andreucci , Andrea Cappelli , Lorenzo Maffi

We study some topological aspects of non-abelian gauge theories intimately connected to the Lie algebras of the gauge groups and the homotopy theory in the generalized gauge orbit space. The physics connection to the non-perturbative…

High Energy Physics - Phenomenology · Physics 2009-10-22 Huazhong Zhang

We define a holographic dual to the Donaldson-Witten topological twist of $\mathcal{N}=2$ gauge theories on a Riemannian four-manifold. This is described by a class of asymptotically locally hyperbolic solutions to $\mathcal{N}=4$ gauged…

High Energy Physics - Theory · Physics 2019-07-30 Pietro Benetti Genolini , Paul Richmond , James Sparks

We show that the hypothesis of abelian dominance allows QCD-monopoles to preserve the topological feature of the QCD vacuum within SU(2) lattice gauge theory. An analytical study is made to find the relationship between the topological…

High Energy Physics - Lattice · Physics 2009-10-31 Shoichi Sasaki , Osamu Miyamura

We study the relationship between three non-Abelian topologically massive gauge theories, viz. the naive non-Abelian generalization of the Abelian model, Freedman-Townsend model and the dynamical 2-form theory, in the canonical framework.…

High Energy Physics - Theory · Physics 2009-11-07 E. Harikumar , Amitabha Lahiri , M. Sivakumar

We discuss a particular lattice discretization of abelian gauge theories in arbitrary dimensions. The construction is based on gauging the center symmetry of a non-compact abelian gauge theory, which results in a Villain type action. We…

High Energy Physics - Lattice · Physics 2019-06-26 Tin Sulejmanpasic , Christof Gattringer

We study the topological mass generation in the 4 dimensional nonabelian gauge theory, which is the extension of the Allen $et$ $al.$'s work in the abelian theory. It is crucial to introduce a one form auxiliary field in constructing the…

High Energy Physics - Theory · Physics 2009-10-28 Dae Sung Hwang , Chang-Yeong Lee

A non-abelian generalisation of a theory of gravity coupled to a 2-form gauge field and a dilaton is found, in which the metric and 3-form field strength are Lie algebra-valued. In the abelian limit, the curvature with torsion is self-dual…

High Energy Physics - Theory · Physics 2009-10-30 C. M. Hull

We consider the subset of gauged maximal supergravities that consists of the SO(n+1) gauge fields A^{ij} and the scalar deformation T^{ij} of the S^n in the spherical reduction of M-theory or type IIB. We focus on the Abelian Cartan…

High Energy Physics - Theory · Physics 2015-06-17 Hai-Shan Liu , H. Lu

Abelian topologically massive gauge theories (TMGT) provide a topological mechanism to generate mass for any p-tensor boson in any dimension. Within the Hamiltonian formulation, the embedded topological field theory (TFT) is not made…

High Energy Physics - Theory · Physics 2007-05-25 Bruno Bertrand

We study the topological feature in the QCD vacuum based on the hypothesis of abelian dominance. The topological charge $Q_{\rm SU(2)}$ can be explicitly represented in terms of the monopole current in the abelian dominated system. To…

High Energy Physics - Lattice · Physics 2009-10-31 Shoichi Sasaki , Osamu Miyamura

Topological gravity (in the sense that it is metric-independent) in a $2n$-dimensional spacetime can be formulated as a gauge field theory for the AdS gauge group $SO(2,2n-1)$ by adding a multiplet of scalar fields. These scalars can break…

High Energy Physics - Theory · Physics 2023-08-11 Marija Dimitrijević Ćirić , Dušan Đorđević , Dragoljub Gočanin , Biljana Nikolić , Voja Radovanović

We study topologically massive (2+1)-dimensional gravity with a negative cosmological constant. The masses of the linearized curvature excitations about AdS_3 backgrounds are not only shifted from their flat background values but, more…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip , S. Deser , A. Waldron , D. K. Wise

A class of $AdS_2\times \Sigma_2$, with $\Sigma_2$ being a two-sphere or a hyperbolic space, solutions within four-dimensional $N=4$ gauged supergravity coupled to three-vector multiplets with dyonic gauging is identified. The gauged…

High Energy Physics - Theory · Physics 2017-10-24 Parinya Karndumri

Abelian topologically massive gauge theories (TMGT) provide a topological mechanism to generate mass for a bosonic p-tensor field in any spacetime dimension. These theories include the 2+1 dimensional Maxwell-Chern-Simons and 3+1…

High Energy Physics - Theory · Physics 2008-11-26 Bruno Bertrand , Jan Govaerts

The dual Meissner effect is described and numerically observed in a gauge-invariant way in lattice Monte-Carlo simulations of pure SU(2) QCD. A gauge-invariant Abelian-like field strength is defined in terms of a unit-vector in color space…

High Energy Physics - Lattice · Physics 2007-05-23 Tsuneo Suzuki , Katsuya Ishiguro , Yoshifumi Nakamura , Toru Sekido

We present the gravity dual to a class of three-dimensional N=2 supersymmetric gauge theories on a biaxially squashed three-sphere, with a non-trivial background gauge field. This is described by a 1/2 BPS Euclidean solution of…

High Energy Physics - Theory · Physics 2015-06-03 Dario Martelli , James Sparks

Non-Abelian gauge fields give rise to nontrivial topological physics. Here we develop a scheme to create an arbitrary SU(2) lattice gauge field for photons in the synthetic frequency dimension using an array of dynamically modulated ring…

Optics · Physics 2023-02-23 Dali Cheng , Kai Wang , Shanhui Fan
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