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Fermions with no fundamental charges call for extra dimensions

Norma Susana Mankoc Borstnik·Holger Bech Nielsen
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Abstract

We call attention to that if assuming no conserved charges in the fundamental theory with fermions, which carry only a spin and interact with only the gravity, the dimensions $4, 12, 20,.....,$ as well as all odd dimensions, are excluded under the requirement of mass protection. If more than one family is required, than only dimensions d=2 (mod 4) remains as acceptable, since then other by 4 devisable dimensions are excluded.

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Norma Susana Mankoc Borstnik, Holger Bech Nielsen. 2006-08-01. Fermions with no fundamental charges call for extra dimensions. https://doi.org/10.1016/j.physletb.2006.11.029

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