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A $\phi_{1,3}$-Filtration of the Virasoro Minimal Series $M(p, p')$ with $1 < p'/p < 2$

A $\phi_{1,3}$-Filtration of the Virasoro Minimal Series $M(p, p')$ with $1 < p'/p < 2$

The ļ¬ltration of the Virasoro minimal series representations M_{r,s}^{(p,p')} induced by the (1, 3) -primary ļ¬eld \phi_{1,3}(z) is studied. For 1 < p'/p < 2 , a conjectural basis of M_{r,s}^{(p, p')} compatible with the ļ¬ltration is given by using monomial vectors in terms of the Fourier coeffcients of \phi_{1,3}(z) ā€¦