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/

Zendy Plus

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

Zendy Tools

Zendy Open

The genuine Kaluza-Klein-like theories--with no fields in addition togravity--have difficulties with the existence of massless spinors after thecompactification of some space dimensions \cite{witten}. We proposed inprevious paper a boundary condition for spinors in d=(1+5) compactified on aflat disk that ensures masslessness of spinors (with all positive half integercharges) in d=(1+3) as well as their chiral coupling to the correspondingbackground gauge gravitational field. In this paper we study the same toymodel, proposing a boundary condition allowing a massless spinor of onehandedness and only one charge (1/2) and infinitely many massive spinors of thesame charge, allowing disc to be curved. We define the operator of momentum tobe Hermitean on the vector space of spinor states--the solutions on a disc withthe boundary.

physics letters b

Particular boundary condition ensures that a fermion in d=1+5,  compactified on a finite disk, manifests in d=1+3 as massless spinor with a  charge 1/2, mass protected and chirally coupled to the gauge field