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We discuss a class of 3-dimensional N=4 Chern-Simons (CS) quiver gauge models obtained from M-theory compactifications on singular complex 4-dimensional hyper-Kahler (HK) manifolds, which are realized explicitly as a cotangent bundle over…

High Energy Physics - Theory · Physics 2012-10-25 Adil Belhaj , Pablo Diaz , Maria Pilar Garcia del Moral , Antonio Segui

The question of the dependence of the topological charge $q$ of a gauged Skyrmion, on the gauge field, is studied quantitatively. Two examples, both gauged with $SO(2)$ are studied and contrasted: i) The $O(3)$ model in $2+1$ dimensions,…

High Energy Physics - Theory · Physics 2019-02-20 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

The problem of Chern-Simons-like term induction via quantum corrections in four-dimensions is investigated in two different cases. In the first case, we consider two distinct approaches to deal with the exact fermion propagator of the…

High Energy Physics - Theory · Physics 2024-03-04 E. Passos , K. E. L. de farias , M. A. Anacleto , E. Maciel , C. A. G. Almeida

The (2+1)-dimensional analog self-dual gravity which is obtained via spacetime dimension reduction of the (3+1)-dimensional Holst action without reducing the internal gauge group is studied. A Chern-Simons formulation for this theory is…

High Energy Physics - Theory · Physics 2024-10-15 Prince K. Osei

The effective action of string theory in three dimensions is investigated, incorporating the Lorentz and gauge Chern-Simons terms in the definition of the Kalb-Ramond axion field strength. Since in three dimensions any three-form is…

High Energy Physics - Theory · Physics 2009-10-22 Nemanja Kaloper

The recently proposed physical projector approach to the quantisation of gauge invariant systems is applied to the U(1) Chern-Simons theory in 2+1 dimensions as one of the simplest examples of a topological quantum field theory. The…

High Energy Physics - Theory · Physics 2008-11-26 Jan Govaerts , Bernadette Deschepper

Some general features of locally supersymmetric theories (N=1 in four dimensions) involving Chern-Simons forms and antisymmetric tensors are sketched out. The relevance of the three-form multiplet both for the description of Chern-Simons…

High Energy Physics - Theory · Physics 2007-05-23 R. Grimm

We consider Chern-Simons theory coupled to massive fundamental matter in three spacetime dimensions at finite temperature, in the large $N$ limit. We compute several thermal correlators in this theory for both fermionic and bosonic matter…

High Energy Physics - Theory · Physics 2021-02-03 Amiya Mishra

We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the Maxwell-Chern-Simons theory. We show, to lowest order in inverse fermion mass, the identity between the corresponding…

High Energy Physics - Theory · Physics 2009-10-28 E. Fradkin , F. A. Schaposnik

We show that topological characterization and classification in $D$-dimensional systems, which are thermodynamically large in only $D-\delta$ dimensions and finite in size in $\delta$ dimensions, is fundamentally different from that of…

Mesoscale and Nanoscale Physics · Physics 2023-08-01 Ashley M. Cook , Anne E. B. Nielsen

I discuss how the factorization of the invariant trace used to define Chern-Simons branes in a space-time with a Chern-Simons action for a space-time group introduces new relationships between the coupling constants of the extended objects…

High Energy Physics - Theory · Physics 2023-07-26 Pablo Mora

We propose a duality for N=2 d=3 Chern-Simons gauge theories with orthogonal gauge groups and matter in the vector representation. This duality generalizes level-rank duality for pure Chern-Simons gauge theories with orthogonal gauge groups…

High Energy Physics - Theory · Physics 2011-04-05 Anton Kapustin

The title of this article refers to analytic continuation of three-dimensional Chern-Simons gauge theory away from integer values of the usual coupling parameter k, to explore questions such as the volume conjecture, or analytic…

High Energy Physics - Theory · Physics 2010-08-31 Edward Witten

We investigate how topological entanglement of Chern-Simons theory is captured in a string theoretic realization. Our explorations are motivated by a desire to understand how quantum entanglement of low energy open string degrees of freedom…

High Energy Physics - Theory · Physics 2020-01-08 Veronika E. Hubeny , Roji Pius , Mukund Rangamani

We use the method of stochastic quantization in a topological field theory defined in an Euclidean space, assuming a Langevin equation with a memory kernel. We show that our procedure for the Abelian Chern-Simons theory converges regardless…

High Energy Physics - Theory · Physics 2008-11-26 G. Menezes , N. F. Svaiter

We examine the various linkings in space-time of ``ball-like'' and ``ring-like'' topological solitons in certain nonlinear sigma models in 2+1 and 3+1 dimensions. By going to theories where soliton overlaps are forbidden, these linkings…

High Energy Physics - Theory · Physics 2009-10-22 Lee Brekke , Shane J. Hughes , Tom D. Imbo

Topological insulators in odd dimensions are characterized by topological numbers. We prove the well-known relation between the topological number given by the Chern character of the Berry curvature and the Chern-Simons level of the low…

High Energy Physics - Theory · Physics 2020-04-15 Hidenori Fukaya , Tetsuya Onogi , Satoshi Yamaguchi , Xi Wu

Our recent paper~\cite{FST} with Claudia Scheimbauer uses the cobordism hypothesis to construct fully local Chern-Simons theories. Here we expose some physics motivations: Yang-Mills plus Chern-Simons in the bosonic case and the free…

High Energy Physics - Theory · Physics 2026-05-29 Daniel S. Freed , Constantin Teleman

Chern--Simons type Lagrangians in $d=3$ dimensions are analyzed from the point of view of their covariance and globality. We use the transgression formula to find out a new fully covariant and global Lagrangian for Chern--Simons gravity:…

High Energy Physics - Theory · Physics 2008-11-26 A. Borowiec , M. Ferraris , M. Francaviglia

We show that the sum over geometries in the Lorentzian 4-D state sum model for quantum GR in [1] includes terms which correspond to geometries on manifolds with conical singularities. Natural approximations suggest that they can be…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Louis Crane