N=2 SUSY Abelian Higgs model with hidden sector and BPS equations

Abstract

In this paper we study a system inspired on certain SUSY breaking models and on more recent Dark Matter scenarios. In our set-up, two Abelian gauge fields interact via an operator that mixes their kinetic terms. We find the extended Supersymmetric version of this system, that also generates a Higgs portal type of interaction. We obtain and study both analytically and numerically, the equations defining topologically stable string-like objects. We check our results using two different approaches. Various technical details are explicitly stated for the benefit of various readers.

arXiv comment22 pages, 4 figures, 1 appendix

References in corpus (17)

• A Theory of Dark Matter
• The Low-Energy Frontier of Particle Physics
• WISPy Cold Dark Matter
• Updated Bounds on Milli-Charged Particles
• Dark Light, Dark Matter and the Misalignment Mechanism
• Higgs-field Portal into Hidden Sectors
• Superconformal Chern-Simons Theories
• Supersymmetry and Bogomol'nyi equations in the Abelian Higgs Model
• New Limits on Light Hidden Sectors from Fixed-Target Experiments
• Supergravity and a Bogomol'nyi Bound in Three Dimensions
• Cosmic Strings in Hidden Sectors: 1. Radiation of Standard Model Particles
• Dark Strings and their Couplings to the Standard Model
• Bogomol'nyi Bounds and Killing Spinors in d=3 Supergravity
• Cosmic Strings in Hidden Sectors: 2. Cosmological and Astrophysical Signatures
• Cosmic strings interacting with dark strings
• Vortex solutions of an Abelian Higgs model with visible and hidden sectors
• The effect of dark strings on semilocal strings

Cited by in corpus (16)

• First Order Formalism for Generalized Vortices
• Multilayered Vortices
• Small and hollow magnetic monopoles
• Stabilisation of semilocal strings by dark scalar condensates
• Chern-Simons-Higgs Theory with Visible and Hidden Sectors and its $\mathcal{N}=2$ SUSY Extension
• Impurity-like solutions in vortex systems coupled to a neutral field
• Novel way to construct spatially localized finite energy structures
• Vortex solutions in the presence of Dark Portals
• Quasi-compact vortices
• Generalized Maxwell-Higgs vortices in models with enhanced symmetry
• SU(2) Chern-Simons Theory Coupled to Competing Scalars
• Vortices in a generalized Maxwell-Higgs model with visible and hidden sectors
• Visible and hidden sectors in a model with Maxwell and Chern-Simons gauge dynamics
• Electroweak strings with dark scalar condensates and their (in)stability
• A $d=3$ dimensional model with two $U(1)$ gauge fields coupled via matter fields and BF interaction
• Vortices in Maxwell-Higgs models with a global factor