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

N. S. Mankoc Borstnik; H. B. Nielsen

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arXiv · hep-th/0311037

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

N. S. Mankoc Borstnik·H. B. Nielsen

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Abstract

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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N. S. Mankoc Borstnik, H. B. Nielsen. 2005-05-18. An example of Kaluza-Klein-like theories leading after compactification to massless spinors coupled to a gauge field. https://arxiv.org/abs/hep-th/0311037

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