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arXiv · 2606.27054

Non-topological solitons in biadjoint scalar field theory

Kymani Armstrong-Williams·Chris D. White
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Abstract

Biadjoint scalar theory has been widely studied, due to its being closely related to the double copy correspondence linking gauge, gravity and related theories. In this paper, we continue a programme of work in elucidating non-linear solutions of this theory, and find a family of new solutions that are richer and more complex than previous cases. Using an ansatz that can be embedded in any choice of non-abelian colour groups, we demonstrate the existence of non-topological solitons, whose existence is protected by carrying a U(1) charge associated with certain rotations in colour space. The solutions are time-dependent, and closely related to the well-known Q-ball solutions in other scalar field theories. We also show explicitly that our solution set contains those that are stable under small perturbations within a consistent truncation of the theory, and have finite energy in addition to being localised.

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Kymani Armstrong-Williams, Chris D. White. 2026-06-25. Non-topological solitons in biadjoint scalar field theory. https://arxiv.org/abs/2606.27054

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