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We construct a new class of exact and stable superstring solutions based on $N=4$ superconformal world-sheet symmetry. In a subclass of these, the full spectrum of string excitations is derived in a modular-invariant way. In the weak…

High Energy Physics - Theory · Physics 2009-10-28 I. Antoniadis , S. Ferrara , C. Kounnas

We propose a model with a U(1)_A x U(1)_B gauge symmetry which contains topological strings carrying magnetic flux under each of the U(1)s. By calculating the tension of the first few low energy strings we show that bound states, containing…

High Energy Physics - Theory · Physics 2009-11-11 P. M. Saffin

Within the framework of the generalized time-dependent Ginzburg-Landau equations, we studied the influence of the magnetic self-field induced by the currents inside a superconducting sample driven by an applied transport current. The…

Superconductivity · Physics 2020-06-03 Leonardo Rodrigues Cadorim , Alexssandre de Oliveira Junior , Edson Sardella

Flexibility and rigidity properties of steady (time-independent) solutions of the Euler, Boussinesq and Magnetohydrostatic equations are investigated. Specifically, certain Liouville-type theorems are established which show that suitable…

Analysis of PDEs · Mathematics 2021-03-31 Peter Constantin , Theodore D. Drivas , Daniel Ginsberg

We put forward a model for trapping stable optical vortex solitons (VSs) with high topological charges $m$. The cubic-quintic nonlinear medium with an imprinted ring-shaped modulation of the refractive index is shown to support two branches…

Optics · Physics 2023-08-23 Liangwei Dong , Mingjing Fan , Boris A. Malomed

We carry out a detailed stability analysis of the superconducting vortex solutions in the Weinberg-Salam theory described in Nucl.Phys. B826 (2010) 174. These vortices are characterized by constant electric current $I$ and electric charge…

High Energy Physics - Theory · Physics 2015-03-17 Julien Garaud , Mikhail S. Volkov

We study the evolution of non-periodic cosmic string loops containing Y-junctions, such as may form during the evolution of a network of (p,q) cosmic superstrings. We set up and solve the Nambu-Goto equations of motion for a loop with…

High Energy Physics - Theory · Physics 2010-01-07 Neil Bevis , Edmund J. Copeland , Pierre-Yves Martin , Gustavo Niz , Alkistis Pourtsidou , Paul M. Saffin , D. A. Steer

We study the cosmological evolution based upon a $D$-dimensional action in low-energy effective string theory in the presence of second-order curvature corrections and a modulus scalar field (dilaton or compactification modulus). A…

High Energy Physics - Theory · Physics 2009-11-11 Gianluca Calcagni , Shinji Tsujikawa , M Sami

Domain walls, arising from the spontaneous breaking of a discrete symmetry, can be coupled to charge carriers. In much the same way as the Witten model for superconducting cosmic string, an investigation is made here in the case of…

High Energy Physics - Phenomenology · Physics 2009-09-25 Patrick Peter

We present a detailed analytical and numerical study of a novel type of static, superconducting, classically stable string texture in a renormalizable topologically trivial massive U(1) gauge model with one charged and one neutral scalar.…

High Energy Physics - Phenomenology · Physics 2009-10-31 L. Perivolaropoulos , T. N. Tomaras

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

We are concerned with supersonic vortex sheets for the Euler equations of compressible inviscid fluids in two space dimensions. For the problem with constant coefficients we derive an evolution equation for the discontinuity front of the…

Analysis of PDEs · Mathematics 2018-06-19 Alessandro Morando , Paolo Secchi , Paola Trebeschi

In String Gas Cosmology, the simplest shape modulus fields are naturally stabilized by taking into account the presence of string winding and momentum modes. We determine the resulting effective potential for these fields and show that it…

High Energy Physics - Theory · Physics 2021-02-03 Gabrielle A. Mitchell , Robert Brandenberger

We analyze the quantum dynamics of a relativistic homogeneous superfluid in a complex scalar field theory. Unlike zero-charge condensates, which undergo quantum evaporation due to internal number-changing processes, we show that $U(1)$…

High Energy Physics - Theory · Physics 2025-09-29 Lasha Berezhiani , Giordano Cintia , Giacomo Contri

Motivated by recent discussions of the string-theory landscape, we propose field-theoretic realizations of models with large numbers of vacua. These models contain multiple U(1) gauge groups, and can be interpreted as deconstructed versions…

High Energy Physics - Theory · Physics 2009-11-10 Keith R. Dienes , Emilian Dudas , Tony Gherghetta

We prove global in time dynamical stability of steady transonic shock solutions in divergent quasi-one-dimensional nozzles. We assume neither the smallness of the relative slope of the nozzle nor the weakness of the shock. Key ingredients…

Analysis of PDEs · Mathematics 2011-08-01 Jeffrey Rauch , Chunjing Xie , Zhouping Xin

We study string formation and dynamics in a scalar field theory with a global $U(1)$ symmetry. If a scalar field $\Phi$ is initially displaced from the minimum of a wine-bottle potential, even if uniformly over large spatial patches, small…

High Energy Physics - Phenomenology · Physics 2025-08-15 Michael A. Fedderke , Junwu Huang , Nils Siemonsen

We present a new approach for generation of solutions in the four-dimensional heterotic string theory with one vector field and in the five-dimensional bosonic string theory starting from the static Einstein-Maxwell fields. Our approach…

High Energy Physics - Theory · Physics 2009-11-07 Alfredo Herrera-Aguilar , Oleg V. Kechkin

In a flat background, simple non-conducting string loops have no strictly stationary equilibrium states, but for cosmic string loops of superconducting kind such ``vorton'' states will exist, with rotating circular configurations…

High Energy Physics - Theory · Physics 2010-11-01 Brandon Carter

In this work we consider the evolution of a massive scalar field in cylindrically symmetric space-times. Quasinormal modes have been calculated for static and rotating cosmic cylinders. We found unstable modes in some cases. Rotating as…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Alan B. Pavan , E. Abdalla , C. Molina