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Related papers: Vortex-type Half-BPS Solitons in ABJM Theory

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We propose an exactly solvable Grassmannian sigma-model coupled to the Chern-Simons theory. In the presence of a novel topological term our model admits exact self-dual vortex solutions which are identical to those of pure Grassmannian…

High Energy Physics - Theory · Physics 2016-09-06 Jin-Ho Cho , Phillial Oh , Jeong-Hyuck Park

We introduce and study a pure gauge abelian theory in 2+1D in which massive quantum vortex states do exist in the spectrum of excitations. This theory can be mapped in a three dimensional gas of point particles with a logarithmic…

High Energy Physics - Theory · Physics 2009-10-30 E. C. Marino , F. I. Takakura

Vortex solutions to the classical field equations in a massive, renormalizable U(1) gauge model are considered in (2+1) dimensions. A vector field whose kinetic term consists of a Chern-Simons term plus a Stuekelberg mass term is coupled to…

High Energy Physics - Theory · Physics 2009-10-31 D. G. C. McKeon

We explore the 1/2 BPS configurations in BMN matrix theory with SO(3) angular momentum of $SO(3)\times SO(6)$ symmetry. The fluctuation analysis of the BPS configurations near the abelian solutions and also the fuzzy two sphere vacua…

High Energy Physics - Theory · Physics 2014-11-18 Jens Hoppe , Ki-Myeong Lee

We evaluate the gauge invariant, dynamically conserved charges, recently obtained from the integral form of the Yang-Mills equations, for the BPS multi-dyon solutions of a Yang-Mills-Higgs theory associated to any compact semi-simple gauge…

High Energy Physics - Theory · Physics 2016-01-27 C. P. Constantinidis , L. A. Ferreira , G. Luchini

We explore vorton solutions in the Witten's $U(1) \times U(1)$ model for cosmic strings and in a modified version $U(1) \times SO(3)$ obtained by introducing a triplet of non-Abelian fields to condense inside the string. We restrict to the…

High Energy Physics - Theory · Physics 2020-02-19 Gianni Tallarita , Adam Peterson , Stefano Bolognesi , Peter Bedford

When mass-deformed ABJM theory is considered on S(3), the partition function of the theory localises and is given by a matrix model. We solve this model at large-N in the decompactification limit, where the radius of the three-sphere is…

High Energy Physics - Theory · Physics 2015-06-22 Louise Anderson , Konstantin Zarembo

The existence of vortex condensates in the self-dual Maxwell-Chern-Simons-Higgs System on a flat torus is proved by the super-sub solution method under the assumption that the total vortex number in a given periodic domain is not too large.…

Superconductivity · Physics 2016-08-31 Dongho Chae , Namkwon Kim

Though not so widely appreciated in the literature, supersymmetric quantum mechanics provides an ideal playground for studying non-Abelian geometric phase, because supersymmetry always guarantees degeneracies in energy levels. In this paper…

High Energy Physics - Theory · Physics 2014-12-01 Satoshi Ohya

The familiar unrestricted Hartree-Fock variational principle is generalized to include quasi-free states. As we show, these are in one-to-one correspondence with the one-particle density matrices and these, in turn provide a convenient…

Condensed Matter · Physics 2009-10-22 Volker Bach , Elliott H. Lieb , Jan philip Solovej

In order to study electrically and magnetically charged vortices in fractional quantum Hall effect and anyonic superconductivity, the Maxwell-Chern-Simons (MCS) model was introduced by [Lee, Lee, Min (1990)] as a unified system of the…

Analysis of PDEs · Mathematics 2019-07-09 Weiwei Ao , Youngae Lee , Ohsang Kwon

In this work we consider an Abelian O(3) sigma model coupled nonminimally with a gauge field governed by a Maxwell and Chern-Simons terms. Bogomol'nyi equations are constructed for a specific form of the potential and generic nonminimal…

High Energy Physics - Theory · Physics 2010-02-04 F. S. A. Cavalcante , M. S. Cunha , C. A. S. Almeida

Four-dimensional $\mathcal{N}=4$ supersymmetric Yang-Mills theory, at a point on the Coulomb branch where $SU(N)$ gauge symmetry is spontaneously broken to $SU(N-1)\times U(1)$, admits BPS solitons describing a spherical shell of electric…

High Energy Physics - Theory · Physics 2021-06-02 S. Prem Kumar , Andy O'Bannon , Anton Pribytok , Ronnie Rodgers

We consider 10-dimensional super Yang-Mills theory with topological terms compactified on a noncommutative torus. We calculate supersymmetry algebra and derive BPS energy spectra from it. The cases of d-dimensional tori with d=2,3,4 are…

High Energy Physics - Theory · Physics 2009-10-31 A. Konechny , A. Schwarz

Non Abelian vortices of a SU(2) Chern-Simons--Higgs theory in 2+1 dimensions are constructed numerically. They represent natural counterparts of the U(1) solutions considered by Hong, Kim and Pac, and, by Jackiw and Weinberg. The Abelian…

High Energy Physics - Theory · Physics 2009-11-06 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

At high temperatures the A_0 component of the Yang--Mills field plays the role of the Higgs field, and the 1-loop potential V(A_0) plays the role of the Higgs potential. We find a new stable vortex solution of the Abrikosov-Nielsen-Olesen…

High Energy Physics - Theory · Physics 2016-09-06 Dmitri Diakonov

In this paper we first formulate a dually gauged harmonic map model, suggested from a product Abelian Higgs field theory arising in impurity-inspired field theories, and obtain a new BPS system of equations governing coexisting vortices and…

Mathematical Physics · Physics 2022-06-29 Xiaosen Han , Genggeng Huang , Yisong Yang

A nonabelian class of massless/massive nonlinear gauge theories of Yang-Mills vector potentials coupled to Freedman-Townsend antisymmetric tensor potentials is constructed in four spacetime dimensions. These theories involve an extended…

Mathematical Physics · Physics 2009-11-07 Stephen C. Anco

We report on a new topological vortex solution in U(1)$\times$U(1) Maxwell-Chern-Simons theory. The existence of the vortex is envisaged by analytical means, and a numerical solution is obtained by integrating the equations of motion. These…

High Energy Physics - Theory · Physics 2015-09-23 Mohamed M. Anber , Yannis Burnier , Eray Sabancilar , Mikhail Shaposhnikov

In this paper we evaluate the self-energy of the vector mesons at one loop in our recently proposed subtraction scheme for massive nonlinearly realized SU(2) Yang-Mills theory. We check the fulfillment of physical unitarity. The resulting…

High Energy Physics - Theory · Physics 2012-05-24 Daniele Bettinelli , Ruggero Ferrari , Andrea Quadri