In this paper, we will prove a series ofq-identities suggested by the realisationof certain conformal field theories involving the so-called 'coupled free fermi-ons.' We will considerq-series arising from coup...
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In this paper, we will prove a series ofq-identities suggested by the realisationof certain conformal field theories involving the so-called 'coupled free fermi-ons.' We will considerq-series arising from coupled free fermions constructedby the parafermion coset construction as well as from scaled root lattices, andsome interesting relations between the two.
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