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arXiv · 2108.02228

Gravitational Solitons and Completeness

Jacob McNamara
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Abstract

We show that gravitational solitons naturally carry gauge charges beyond those of any local quantum field. The effect of these charged excitations is to break a non-invertible symmetry to its maximal group-like sub-symmetry. Taking these charges into account, we show that the Completeness Hypothesis follows from the breaking of the remaining group-like symmetry. We generalize this picture to an arbitrary semisimple tensor category of particle charges, showing that the charges of gravitational solitons form the adjoint subcategory. We discuss a further generalization involving the charges of extended objects.

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Jacob McNamara. 2021-08-04. Gravitational Solitons and Completeness. https://arxiv.org/abs/2108.02228

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