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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We find new vacuum solutions of ${\cal N}=4$ super-Yang-Mills with totallyanti-symmetric cubic soft SUSY breaking terms, or equivalently solutions of theIKKT matrix model of type $\mathbb{R}^4_\theta \times {\cal K}_N$ with fluxterms. The solutions can be understood in terms of 4- and 6- dimensional fuzzybranes ${\cal K}_N$ in extra dimensions, describing self-intersectingprojections of compact flag manifolds of $SU(3)$. The 6-dimensional solutionsprovide a 6-fold covering of the internal space near the origin, while the4-dimensional branes have a triple self-intersections spanning all 6 internaldirections. The solutions have lower energy than the trivial vacuum, and weprove that there are no negative modes. The massless modes are identifiedexplicitly. In particular there are chiral fermionic zero modes, linking thecoincident sheets with opposite flux at the origin. They have a $\mathbb{Z}_3$family symmetry, originating from the Weyl group rotations.

Self-intersecting fuzzy extra dimensions from squashed coadjoint orbits in ${\cal N}=4$ SYM and matrix models