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arXiv · 2505.17935

Spontaneous Symmetry Breaking in Graviweak Theory

Stephon Alexander·Bruno Alexandre·Michael Fine·João Magueijo·Max Pezzelle
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Abstract

Graviweak theory seeks to unify gravity (specifically in its self-dual formulation) with the weak interaction, preying on their parallel chiral $SU(2)$ structures. In this paper we further this idea by folding it with the concept of spontaneous symmetry breaking. We do this first with a standard Higgs field and potential, starting with a unifying parity-invariant theory which splits into the usual gravity and weak sector under spontaneous symmetry breaking. By rewriting the theory in the two-spin framework we are then prompted to discuss generalizations, within the generic approach known as MacDowell-Mansouri theories where a larger internal gauge group is broken. One of the predictions of the ensuing construction is a non-minimal coupling in the low energy broken phase between curvature and the weak gauge fields, translating at the quantum level to a direct channel between the graviton and the weak bosons.

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Stephon Alexander, Bruno Alexandre, Michael Fine, João Magueijo, Max Pezzelle. 2025-05-23. Spontaneous Symmetry Breaking in Graviweak Theory. https://arxiv.org/abs/2505.17935

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