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We provide a thorough exposition, including technical and numerical details, of previously published results on the quantum stabilization of cosmic strings. Stabilization occurs through the coupling to a heavy fermion doublet in a reduced…

High Energy Physics - Theory · Physics 2011-08-09 N. Graham , M. Quandt , H. Weigel

We consider a Strang-type second order operator-splitting discretization for the Cahn-Hilliard equation. We introduce a new theoretical framework and prove uniform energy stability of the numerical solution and persistence of all higher…

Numerical Analysis · Mathematics 2021-07-13 Dong Li , Chaoyu Quan

Global symmetries of the string effective action are employed to generate tilted, homogeneous Bianchi type VI_h string cosmologies from a previously known stiff perfect fluid solution to Einstein gravity. The dilaton field is not constant…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Dominic Clancy , Alexander Feinstein , James E. Lidsey , Reza Tavakol

The only allowed Higgs superpotential term at stringy tree level in the string derived Singlet Extensions of the Minimal Supersymmetric Standard Model (SEMSSM) is h S H_d H_u, which leads to an additional global U(1) symmetry in the Higgs…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tianjun Li

We make use of the formalism described in a previous paper [Martins {\it et al.} Phys. Rev. D90 (2014) 043518] to address general features of wiggly cosmic string evolution. In particular, we highlight the important role played by poorly…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-21 J. P. P. Vieira , C. J. A. P. Martins , E. P. S. Shellard

With the apparent discovery of the Higgs boson, the Standard Model has been confirmed as the theory accounting for all sub-atomic phenomena. This observation lends further credence to the perturbative unification in Grand Unified Theories…

High Energy Physics - Theory · Physics 2014-03-26 Laura Bernard , Alon E Faraggi , Ivan Glasser , John Rizos , Hasan Sonmez

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

In this note we construct self--dual vortices and cosmic strings from the generalized Abelian Higgs theory. A special model of the theory is of focused interest in which the Higgs potential is a polynomial depending on $m$. When $|m|>0$, we…

Mathematical Physics · Physics 2023-09-26 Lei Cao , Shouxin Chen

We unravel stationary states in the form of dark soliton stripes, bubbles, and kinks embedded in a two-dimensional droplet-bearing setting emulated by an extended Gross-Pitaevskii approach. The existence of these configurations is…

Pattern Formation and Solitons · Physics 2024-09-18 G. Bougas , G. C. Katsimiga , P. G. Kevrekidis , S. I. Mistakidis

The Minimal Supersymmetric extension of the Standard Model provides a solution to the hierarchy problem and leads to the presence of a light Higgs. A Higgs boson with mass above the present experimental bound may only be obtained for…

High Energy Physics - Phenomenology · Physics 2009-10-07 Anibal D. Medina , Nausheen R. Shah , Carlos E. M. Wagner

Stable ring solutions supported by the angular momentum caused by superconducting charge and current have been suggested to exist in the gauged $U(1)\times U(1)$ field theory. We construct potentially cosmologically relevant solutions using…

High Energy Physics - Phenomenology · Physics 2021-12-22 R. A. Battye , S. J. Cotterill

General asymptotic approach to the stability problem of multi-parameter solitons in Hamiltonian systems $i\partial E_n/\partial z=\delta H/\delta E_n^*$ has been developed. It has been shown that asymptotic study of the soliton stability…

patt-sol · Physics 2007-05-23 Dmitry V. Skryabin

We revisit the no-scale mechanism in the context of the simplest no-scale supergravity extension of the Standard Model. This model has the usual five-dimensional parameter space plus an additional parameter $\xi_{3/2}\equiv…

High Energy Physics - Phenomenology · Physics 2009-09-25 S. Kelley , J. Lopez , D. Nanopoulos , A. Zichichi

We show that the balance between localized gain and nonlinear cubic dissipation in the twodimensional nonlinear Schrodinger equation allows for existence of stable two-dimensional localized modes which we identify as solitons. Such modes…

We study the existence of smooth topological solitons and black strings as locally-stable saddles of the Euclidean gravitational action of five dimensional Einstein-Maxwell theory. These objects live in the Kaluza-Klein background of four…

High Energy Physics - Theory · Physics 2022-05-18 Ibrahima Bah , Anindya Dey , Pierre Heidmann

We review the status of solitons in superstring theory, with a view to understanding the strong coupling regime. These {\it solitonic} solutions are non-singular field configurations which solve the empty-space low-energy field equations…

High Energy Physics - Theory · Physics 2008-11-26 M. J. Duff , Ramzi R. Khuri , J. X. Lu

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

This thesis considers two different aspects of string theory, the tensionless limit of the string and supersymmetric sigma models. The tensionless limit is used to find a IIB supergravity background generated by a tensionless string.…

High Energy Physics - Theory · Physics 2009-04-16 Jonas Persson

An explicit one-parameter Lie point symmetry of the four-dimensional vacuum Einstein equations with two commuting hypersurface-orthogonal Killing vector fields is presented. The parameter takes values over all of the real line and the…

General Relativity and Quantum Cosmology · Physics 2015-10-07 M. M. Akbar , M. A. H. MacCallum

This article studies a class of semilinear scalar field equations on the real line with variable coefficients in the linear terms. These coefficients are not necessarily small perturbations of a constant. We prove that under suitable…

Analysis of PDEs · Mathematics 2023-08-15 Mashael Alammari , Stanley Snelson
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