m at h . Q A ] 1 5 M ar 2 00 2 VERTEX OPERATOR ALGEBRA ARISING FROM THE MINIMAL SERIES M ( 3 , p ) AND MONOMIAL BASIS
نویسنده
چکیده
We study a vertex operator algebra (VOA) V related to the M(3, p) Virasoro minimal series. This VOA reduces in the simplest case p = 4 to the level two integrable vacuum module of ŝl2. On V there is an action of a commutative current a(z), which is an analog of the current e(z) of ŝl2. Our main concern is the subspace W generated by this action from the highest weight vector of V . Using the Fourier components of a(z), we present a monomial basis of W and a semi-infinite monomial basis of V . We also give a Gordon type formula for their characters. Date: February 1, 2008. 1 2 B. L. FEIGIN, M. JIMBO, AND T. MIWA
منابع مشابه
0 VERTEX OPERATOR ALGEBRA ARISING FROM THE MINIMAL SERIES M ( 3 , p ) AND MONOMIAL BASIS
We study a vertex operator algebra (VOA) V related to the M(3, p) Virasoro minimal series. This VOA reduces in the simplest case p = 4 to the level two integrable vacuum module of ŝl2. On V there is an action of a commutative current a(z), which is an analog of the current e(z) of ŝl2. Our main concern is the subspace W generated by this action from the highest weight vector of V . Using the Fo...
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تاریخ انتشار 2008