English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Strings in $\mathcal{N}=2$ supersymmetric ${\rm U}(1)^N$ gauge theories with$N$ hypermultiplets are studied in the generic setting of an arbitraryFayet-Iliopoulos triplet of parameters for each gauge group and an invertiblecharge matrix. Although the string tension is generically of a square-rootform, it turns out that all existing BPS (Bogomol'nyi-Prasad-Sommerfield)solutions have a tension which is linear in the magnetic fluxes, which in turnare linearly related to the winding numbers. The main result is a series oftheorems establishing three different kinds of solutions of the so-calledconstraint equations, which can be pictured as orthogonal directions to themagnetic flux in ${\rm SU}(2)_R$ space. We further prove for all cases, that aseemingly vanishing Bogomol'nyi bound cannot have solutions. Finally, we writedown the most general vortex equations in both master form and Taubes-likeform. Remarkably, the final vortex equations essentially look Abelian in thesense that there is no trace of the ${\rm SU}(2)_R$ symmetry in the equations,after the constraint equations have been solved.

1/2-BPS vortex strings in $\mathcal{N}=2$ supersymmetric ${\rm U}(1)^N$ gauge theories