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In this talk I study the topology of mathematically idealised center vortices, defined in a gauge invariant way as closed (infinitely thin) flux surfaces (in D=4 dimensions) which contribute the $n^{th}$ power of a non-trivial center…

High Energy Physics - Theory · Physics 2017-08-23 H. Reinhardt

The partition function of complex Chern-Simons theory on a 3-manifold with torus boundary reduces to a finite dimensional state-integral which is a holomorphic function of a complexified Planck's constant $\tau$ in the complex cut plane and…

Geometric Topology · Mathematics 2022-04-08 Stavros Garoufalidis , Jie Gu , Marcos Marino

We consider different large ${\cal N}$ limits of the one-dimensional Chern-Simons action $i\int dt~ \Tr (\del_0 +A_0)$ where $A_0$ is an ${\cal N}\times{\cal N}$ antihermitian matrix. The Hilbert space on which $A_0$ acts as a linear…

High Energy Physics - Theory · Physics 2008-11-26 V. P. Nair

In the previous paper [arXiv:0911.0679], we showed that the Reissner-Nordstrom black hole in the 5-dimensional anti-de Sitter space coupled to the Maxwell theory with the Chern-Simons term is unstable when the Chern-Simons coupling is…

High Energy Physics - Theory · Physics 2010-12-24 Hirosi Ooguri , Chang-Soon Park

We consider a gauged $CP(2)$ theory in the presence of the Chern-Simons action, focusing our attention on those time-independent solutions possessing radial symmetry. In this context, we develop a coherent first-order framework via the…

High Energy Physics - Theory · Physics 2018-01-29 V. Almeida , R. Casana , E. da Hora

We show that the recent construction of $N_f=1$ baryons on the $\eta^\prime$ domain wall can be understood as vortexes of the principal effective theory -- the Chern-Simons-Higgs theory -- on a 2+1-dimensional sheet. This theory has a…

High Energy Physics - Theory · Physics 2024-05-29 Fan Lin , Yong-Liang Ma

In a previous paper [\AS], we used superspace techniques to prove that perturbation theory (around a classical solution with no zero modes) for Chern--Simons quantum field theory on a general $3$-manifold $M$ is finite. We conjectured (and…

High Energy Physics - Theory · Physics 2008-02-03 Scott Axelrod , I. M. Singer

The construction and the symmetries of Chern-Simons vortices in harmonic and uniform magnetic force backgrounds found by Ezawa, Hotta and Iwazaki, and by Jackiw and Pi are generalized using the non-relativistic Kaluza-Klein-type framework…

High Energy Physics - Phenomenology · Physics 2019-08-17 C. Duval , P. A. Horvathy , L. Palla

We investigate the presence of vortex configurations in generalized Maxwell-Chern-Simons models with nonminimal coupling, in which we introduce a function that modifies the dynamical term of the scalar field in the Lagrangian. We first…

High Energy Physics - Theory · Physics 2020-09-09 I. Andrade , D. Bazeia , M. A. Marques , R. Menezes

We study a $U(1) \times U(1)$ gauge theory discussing its vortex solutions and supersymmetric extension. In our set-upon the dynamics of one of two Abelian gauge fields is governed by a Maxwell term, the other by a Chern-Simons term. The…

High Energy Physics - Theory · Physics 2016-12-21 Edwin Ireson , Fidel A. Schaposnik , Gianni Tallarita

We study the three-dimensional theory of two Chern-Simons gauge fields coupled to a scalar field in the bifundamental representation of the $SU(N)_k \times SU(M)_{-k}$ gauge group. At small but fixed $M \ll N$, this system approaches the…

High Energy Physics - Theory · Physics 2015-06-16 Shamik Banerjee , Djordje Radicevic

We apply the mutual Chern-Simons effective theory (Phys. Rev. B 71, 235102) of the doped Mott insulator to the study of the so-called spontaneous vortex phase in the low-temperature pseudogap region, which is characterized by strong…

Strongly Correlated Electrons · Physics 2007-09-19 Xiao-Liang Qi , Zheng-Yu Weng

We study ${\cal N}=3$ linear Chern-Simons-matter theories in the planar limit. The matter content of the theory is depicted by a linear-shape diagram with $n$ nodes and $n-1$ links for any $n$. The free energy and the vevs of BPS Wilson…

High Energy Physics - Theory · Physics 2019-09-04 Takao Suyama

In this work we study some properties of the three dimensional $U(N)$ SUSY Chern-Simons coupled to a scalar field in the fundamental representation in the large $N$ limit. For large $N$ we show that the theory has two phases, one which is…

High Energy Physics - Theory · Physics 2017-03-16 J. M. Queiruga , A. J. da Silva

We investigate the existence of vortex configurations in two gauged-$CP(2)$ models extended via the inclusion of magnetic impurities. In particular, we consider both the Maxwell-$CP(2)$ and the Chern-Simons-$CP(2)$ enlarged scenarios,…

High Energy Physics - Theory · Physics 2022-07-27 V. Almeida , R. Casana , E. da Hora , S. Krusch

Magnetic vortices and skyrmions represent two fundamental classes of topological spin textures in ferromagnetic systems, distinguished by their unique stabilization mechanisms and degrees of freedom. Vortices, characterized by circular…

Computational Physics · Physics 2025-03-21 Haobing Zhang , Xintao Fan , Weiwei Wang

We study the large N limit of SO(N) and Sp(N) Chern-Simons gauge theory on S^3 and identify its closed string dual as topological strings on an orientifold of the small resolution of the conifold. Applications to large N dualities for N=1…

High Energy Physics - Theory · Physics 2007-05-23 S. Sinha , C. Vafa

Let $M$ be a 3-manifold with a finite set $X(M)$ of conjugacy classes of representations $\rho:\pi_1(M)\to$SU$_2$. We study here the distribution of the values of the Chern-Simons function CS$:X(M)\to \mathbb{R}/2\pi\mathbb{Z}$. We observe…

Geometric Topology · Mathematics 2017-10-26 Julien Marché

We show that the four-dimensional Chern-Simons theory studied by Costello, Witten and Yamazaki, is, with Nahm pole-type boundary conditions, dual to a boundary theory that is a three-dimensional analogue of Toda theory with a novel 3d…

High Energy Physics - Theory · Physics 2022-08-02 Meer Ashwinkumar , Kee-Seng Png , Meng-Chwan Tan

For a recently proposed pure gauge theory in three dimensions, without a Chern-Simons term, we calculate the static interaction potential within the structure of the gauge-invariant variables formalism. The result coincides with that of the…

High Energy Physics - Theory · Physics 2009-11-10 Patricio Gaete