Asymptotic interactions of critically coupled vortices
Nicholas S. Manton,J. M. Speight +1 more
Reads0
Chats0
TLDR
In this paper, the asymptotic metric for Ginzburg-Landau vortices is derived from a physical model, where each vortex is treated as a point-like particle carrying a scalar charge and a magnetic dipole moment of the same magnitude.Abstract:
At critical coupling, the interactions of Ginzburg-Landau vortices are determined by the metric on the moduli space of static solutions. Here, a formula for the asymptotic metric for two well separated vortices is obtained, which depends on a modified Bessel function. A straightforward extension gives the metric for N vortices. The asymptotic metric is also shown to follow from a physical model, where each vortex is treated as a point-like particle carrying a scalar charge and a magnetic dipole moment of the same magnitude. The geodesic motion of two well separated vortices is investigated, and the asymptotic dependence of the scattering angle on the impact parameter is determined. Formulae for the asymptotic Ricci and scalar curvatures of the N-vortex moduli space are also obtained.read more
Citations
More filters
Journal ArticleDOI
Vortices, instantons and branes
Amihay Hanany,David Tong +1 more
TL;DR: In this article, the moduli space of vortices and instantons in non-commutative Yang-Mills-Higgs theories has been studied and a D-brane construction is presented in which the dynamics of Vortices is described by the Higgs branch of a gauge theory with 4 supercharges.
Journal ArticleDOI
Solitons in the Higgs phase: the moduli matrix approach
TL;DR: In this article, the moduli spaces of kinks and vortices, which are the only elementary solitons in the Higgs phase, are found in terms of the modulus matrix.
Journal ArticleDOI
NS5-Branes, T-Duality and Worldsheet Instantons
TL;DR: In this article, the equivalence of NS5-branes and ALF spaces under T-duality is well known, and a naive application of Tduality transforms the ALF space into a smeared NS5brane, de-localized on the dual, transverse, circle.
Posted Content
TASI Lectures on Solitons
TL;DR: In this article, a D-brane construction of the vortex moduli space is reviewed, and instantons can be viewed from the worldsheet of a vortex string, an important result that underlies the relationship between 2d sigma-models and 4d gauge theories.
TASI Lectures on Solitons Instantons, Monopoles, Vortices and Kinks
TL;DR: In this paper, a series of vignettes detailing the roles of solitons play in the quantum dynamics of supersymmetric gauge theories in various dimensions is presented, including applications to the AdS/CFT correspondence, little string theory, S-duality, cosmic strings, and the quantitative correspondence between 2d sigma models and 4d gauge theories.
References
More filters
Journal ArticleDOI
Higher Transcendental Functions
TL;DR: Higher Transcendental Functions Based on notes left by the late Prof. Harry Bateman, and compiled by the Staff of the Bateman Project as discussed by the authors, are presented in Table 1.
The stability of classical solutions
TL;DR: In this article, it was shown that for strings with vector field circulation n> or = 2, they are classically unstable for any ϵ > 0 and ϵ ≥ 1.
Book
The Geometry and Dynamics of Magnetic Monopoles
Michael Atiyah,Nigel Hitchin +1 more
TL;DR: In this paper, a particular system, describing the interaction of magnetic monopoles, is investigated in detail, and the use of new geometrical methods produces a reasonably clear picture of the dynamics for slowly moving monopoles.
Journal ArticleDOI
A remark on the scattering of BPS monopoles
TL;DR: In this article, it was shown that the classical dynamics of several slowly moving monopoles corresponds to a geodesic motion in the manifold of exact, static multi-monopole configurations.