An example of Kaluza-Klein-like theories leading after compactification to massless spinors coupled to a gauge field

Details An example of Kaluza-Klein-like theories leading after compactification to massless spinors coupled to a gauge field An example of Kaluza-Klein-like theories leading after compactification to massless spinors coupled to a gauge field

2003-11-05

arxiv.org/abs/hep-th/0311037v4

Physics

High Energy Physics

High Energy Physics - Theory

Title modified, Corrected typos, Corrections

Scientific paper

The genuine Kaluza-Klein-like theories (with no fields in addition to gravity with torsion) have difficulties with the existence of massless spinors after the compactification of some of dimensions of space\cite{witten}. We demonstrate in this letter on an example of a flat torus - as a compactified part of an (1+5)-dimensional space - that for constant fields and appropriate boundary conditions there exists in the 1+3 dimensional space a massless solution, which is mass protected and chirally coupled with a Kaluza-Klein charge to the corresponding gauge field.

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