We discuss some representations of the anyon commutation relations (ACR) both in the discrete and continuous cases. These non-Fock representations yield, in the vacuum state, gauge-invariant quasi-free states on the ACR algebra. In particular, we extend the construction from [20] to the case where the generator of the one-point function is not necessarily a real operator.
CITATION STYLE
Lytvynov, E. (2019). Representations of the anyon commutation relations. In Trends in Mathematics (pp. 309–327). Springer International Publishing. https://doi.org/10.1007/978-3-030-01156-7_33
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