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- W4293353809 abstract "Since Padmanabhan and Teotonio-Sobrinho (2015) show the emergence of non-Abelian fusion rules in some examples of a class of Abelian models, but does not prove whether these rules also exist in other cases, the purpose of this paper is to present such proof emphasizing the importance of the existence of these rules. By the way, as the ground state of these models can be degenerated as a function of their algebra and, hence, they can support some symmetry-protected topological (SPT) phases, we prove that these non-Abelian fusion rules are always necessary for these SPT phase transitions to occur via a condensation mechanism or/and some global symmetry breaking. • There are a multitude of Abelian systems that support non-Abelian fusion rules. • The ground state degeneracy of these Abelian systems depends on the choice we make for their “gauge” group actions. • Non-Abelian fusion rules are necessary for (phase) transitions between some vacuum states when these “gauge” group actions define k -cycles of different degrees." @default.
- W4293353809 created "2022-08-27" @default.
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- W4293353809 date "2022-11-01" @default.
- W4293353809 modified "2023-09-26" @default.
- W4293353809 title "Non-Abelian fusion rules from Abelian systems with SPT phases and graph topological order" @default.
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- W4293353809 doi "https://doi.org/10.1016/j.aop.2022.169109" @default.
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