Abstract
We investigate the explicit construction of the WB2 algebra, which is closed and associative for all values of the central charge c, using the Jacobi identity and show the agreement with the results studied previously. Then we illustrate a realization of c=5/2 free fermion model, which is m→∞ limit of unitary minimal series, c(WB2)=5/2[1−12/(m+3)(m+4)] based on the cosets [Formula: see text] at level (1, m). We confirm by explicit computations that the bosonic currents in the WB2 algebra are indeed given by the Casimir operators of [Formula: see text].
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