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With their non-Abelian topological charges, real multi-bandgap systemschallenge the conventional topological phase classifications. As the minimalsector of multi-bandgap systems, real triple degeneracies (RTPs), which serveas real 'Weyl points', lay the foundation for the research on real topologicalphases. However, experimental demonstration of physical systems with globalband configurations consisting of multiple RTPs in crystals has not beenreported. Here we present experimental evidence of RTPs in photonicmeta-crystals, characterizing them using the Euler number, and establishingtheir connection with both Abelian and non-Abelian charges. By considering RTPsas the basic elements, we further propose the concept of a topologicalcompound, akin to a chemical compound, where we find that certain phases arenot topologically allowed. The topological classification of RTPs in crystalsdemonstrated in our work plays a similar role as the 'no-go' theorem in Weylsystems.

Unveiling Real Triple Degeneracies in Crystals: Exploring Link and Compound Structures