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The dark dimension, proton decay, and the length of the M-theory interval

2025/10/29 by Mario Reig, Ignacio Ruiz, Reig, Mario +1 · 1 citation
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2510.25832

Abstract

The existence of a large extra dimension in which only gravity propagates would have spectacular consequences for cosmology and laboratory experiments. In the strong coupling limit of the E8× E8 heterotic string theory, the gauge and matter fields live at the end of the eleventh dimension, which becomes a natural candidate for a micron-size dark dimension. In this work, however, we show that the length of the M-theory interval is severely constrained by proton decay searches. Our results indicate that in such constructions the size of the eleventh dimension is R\lesssim O(10-28) meters.

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