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We evaluate volume of moduli space of BPS vortices on a compact Riemann surface by using topological field theory and localization technique developed by Moore, Nekrasov and Shatashvili. We apply this technique to Abelian (ANO) vortex and…

High Energy Physics - Theory · Physics 2011-11-03 Akiko Miyake , Kazutoshi Ohta , Norisuke Sakai

Non-Abelian vortices in six spacetime dimensions are obtained for a supersymmetric U(N) gauge theory with N hypermultiplets in the fundamental representation. Massless (moduli) fields are identified and classified into Nambu-Goldstone and…

High Energy Physics - Theory · Physics 2014-11-18 Minoru Eto , Muneto Nitta , Norisuke Sakai

A study is presented of classical field configurations describing nonabelian vortices in two spatial dimensions, when a global \( SO(3) \) symmetry is spontaneously broken to a discrete group \( \IK \) isomorphic to the group of integers…

High Energy Physics - Theory · Physics 2009-10-22 C. Kobdaj , S. Thomas

A relativistic helicity has been formulated in the four-dimensional Minkowski space-time. Whereas the relativistic distortion of space-time violates the conservation of the conventional helicity, the newly defined relativistic helicity…

Mathematical Physics · Physics 2014-05-05 Z. Yoshida , Y. Kawazura , T. Yokoyama

We show that the Einstein field equations for a five-dimensional warped spacetime, where only gravity can propagate into the bulk, determine the dynamical evolution of the warp factor of the four-dimensional brane spacetime. This can be…

General Relativity and Quantum Cosmology · Physics 2018-10-26 Reinoud Jan Slagter

We show that the thin wall limit of the thick domain wall associated with a sine-Gordon soliton in a single non-compactified patch of 5-dimensional spacetime explicitly yields the Randall-Sundrum localized gravity two patch brane, with its…

High Energy Physics - Theory · Physics 2007-05-23 Aharon Davidson , Philip D. Mannheim

We continue the study of $U(1)$ vortices with cholesteric vacuum structure. A new class of solutions is found which represent global vortices of the internal spin field. These spin vortices are characterized by a non-vanishing angular…

High Energy Physics - Theory · Physics 2015-08-07 Adam Peterson , Mikhail Shifman , Gianni Tallarita

Vortex configurations in rotating Bose-Einstein condensed gases trapped in power-law and anharmonic potentials are studied. When the confining potential is steeper than harmonic in the plane perpendicular to the axis of rotation, vortices…

Condensed Matter · Physics 2009-11-07 Emil Lundh

We consider a large condensate in a rotating anisotropic harmonic trap. Using the method of matched asymptotic expansions, we derive the velocity of an element of vortex line as a function of the local gradient of the trap potential, the…

Statistical Mechanics · Physics 2009-10-31 Anatoly Svidzinsky , Alexander Fetter

We carry out a simple analysis of (n+3)-dimensional gravity in the context of recent work on 'large' supplementary dimensions and deduce a formula for the expected compactification radius for the n additional dimensions in the universe, as…

Nuclear Theory · Physics 2010-11-19 Alejandro Frank , Piet van Isacker , Joaquin Gomez-Camacho

The topology of center vortices is studied. For this purpose it is sufficient to consider mathematically idealised vortices, defined in a gauge invariant way as closed (infinitely thin) flux surfaces (in D=4 dimensions) which contribute the…

High Energy Physics - Theory · Physics 2009-11-07 H. Reinhardt

We develop the formalism for computing gravitational corrections to vacuum decay from de Sitter space as a sub-Planckian perturbative expansion. Non-minimal coupling to gravity can be encoded in an effective potential. The Coleman bounce…

High Energy Physics - Phenomenology · Physics 2017-07-17 Aris Joti , Aris Katsis , Dimitris Loupas , Alberto Salvio , Alessandro Strumia , Nikolaos Tetradis , Alfredo Urbano

We study the Ginzburg-Landau energy of superconductors with a term $a_\ep$ modelling the pinning of vortices by impurities in the limit of a large Ginzburg-Landau parameter $\kappa=1/\ep$. The function $a_\ep$ is oscillating between 1/2 and…

Superconductivity · Physics 2016-08-31 Amandine Aftalion , Etienne Sandier , Sylvia Serfaty

We consider compact binary systems, modeled in general relativity as vacuum or perfect-fluid spacetimes with a helical Killing vector k^\alpha, heuristically, the generator of time-translations in a corotating frame. Systems that are…

General Relativity and Quantum Cosmology · Physics 2014-11-17 John L. Friedman , Koji Uryu , Masaru Shibata

We present regular solutions for a brane world scenario in the form of a 't Hooft-Polyakov monopole living in the three-dimensional spherical symmetric transverse space of a seven-dimensional spacetime. In contrast to the cases of a…

High Energy Physics - Theory · Physics 2009-11-07 Ewald Roessl , Mikhail Shaposhnikov

In this paper we consider a canonical compactification of Hitchin's moduli space of stable Higgs bundles with fixed determinant of odd degree over a Riemann surface, producing a projective variety by gluing in a divisor at infinity. We give…

Algebraic Geometry · Mathematics 2007-05-23 Tamas Hausel

This work deals with the presence of analytical vortex configurations in generalized models of the Maxwell-Higgs type in the three-dimensional spacetime. We implement a procedure that allows to decouple the first order equations, which we…

High Energy Physics - Theory · Physics 2018-01-16 D. Bazeia , L. Losano , M. A. Marques , R. Menezes

We construct novel solutions in $d\ge 3$ space dimensions of a family of nonlinear evolutions equations that includes the critical hyperbolic Abelian Higgs model (AHM). For the AHM, these solutions exhibit an ensemble of $N\ge 1$…

Analysis of PDEs · Mathematics 2025-12-16 Amirmasoud Geevechi , Robert L Jerrard

The evolution of 1-vortices when their massive bound mode is excited is investigated in detail (both analytically and numerically) in the Abelian-Higgs model for different ranges of the self-coupling constant. The dependence of the spectrum…

High Energy Physics - Theory · Physics 2024-05-13 A. Alonso-Izquierdo , J. J. Blanco-Pillado , D. Miguélez-Caballero , S. Navarro-Obregón , J. Queiruga

Three-dimensional warped anti-de Sitter space in topologically massive gravity with a negative cosmological constant has been proposed to be holographically dual to a two-dimensional conformal field theory. We extend this proposal to both…

High Energy Physics - Theory · Physics 2010-02-23 Dionysios Anninos