Antisymmetric Tensor Fields in Codimension Two Brane-World

TL;DR

This paper investigates how antisymmetric tensor fields of any rank can be localized on a codimension two brane-world, analyzing their mass spectra and proposing a coupling to fermions to resolve degeneracy issues.

Contribution

It introduces a method to localize antisymmetric tensor fields in a codimension two brane-world and addresses the infinite degeneracy in their mass spectrum.

Findings

Massless and massive antisymmetric tensor fields can be localized.

The mass spectrum exhibits infinite degeneracy at each level.

Coupling to fermions resolves the degeneracy problem.

Abstract

In this work we consider the issue of localization of antisymmetric tensor fields of arbitrary rank in a D dimensional Space-time with a codimension two. A string-like defect is used to simulate the membrane. The localization of massless and massive fields is found. The mass spectrum is infinitely degenerate for each mass level and this is solved by coupling the $q-$form to fermions.