Bosonic Fields in the String-like Defect Model

TL;DR

This paper investigates how bosonic fields localize on a string-like defect in higher-dimensional space, revealing infinite massless states for certain spins, with only the zero mode coupling to fermions, and discusses potential theoretical extensions.

Contribution

It provides a detailed analysis of bosonic field localization on string-like defects, highlighting the degeneracy of massless KK states and their coupling properties, along with possible extensions to advanced theories.

Findings

Infinite degenerate massless KK states for spin 0 and 1 fields.

Only the zero mode couples to fermions on the defect.

Discussion of extensions to superstring, conformal, and supersymmetric theories.

Abstract

We study localization of bosonic bulk fields on a string-like defect with codimension 2 in a general space-time dimension in detail. We show that in cases of spin 0 scalar and spin 1 vector fields there are an infinite number of massless Kaluza-Klein (KK) states which are degenerate with respect to the radial quantum number, but only the massless zero mode state among them is coupled to fermion on the string-like defect. It is also commented on interesting extensions of the model at hand to various directions such as 'little' superstring theory, conformal field theory and a supersymmetric construction.