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

In this work we consider fermionic zero modes in the external scalar andelectromagnetic field forming the vortex on a sphere. We find thecorrespondence between the equations for the fermions in different dimensions,find their explicit expressions through the vortex fields in case of masslessfermions, asymptotics near the poles in case of massive fermions and check thenumber of the solutions by proving index theorem for the fermions on a sphere.As a part of deriving the index, we write a detailed calculation of the Greenfunction of the Heat equation.

Fermionic zero modes in the vortex field in arbitrary dimensions and index of Dirac operator with Majorana-like interaction