Parafermion theory from the q-deformed algebra with q a root of unity

초록

In this paper, we find the q-deformed algebra with the finite- and infinite-dimensional Pock space and both the fermionic limit and the bosonic limit. Using the cardinality of set theory, we propose the Hamiltonian interpolating bosonic case and fermionic case, which enables us to construct the proper partition function and internal energy. As examples, we discuss the specific heat of free p = 3 parafermion gas model and p = 3 parafermion star.

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