Mathematics – Quantum Algebra
Scientific paper
2000-12-20
Mathematics
Quantum Algebra
28 pages
Scientific paper
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 $\hat{sl}_2$. On V there is an action of a commutative current a(z), which is an analog of the current e(z) of $\hat{sl}_2$. 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.
Feigin BL
Jimbo Masakazu
Miwa Tadahiro
No associations
LandOfFree
Vertex operator algebra arising from the minimal series M(3,p) and monomial basis does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Vertex operator algebra arising from the minimal series M(3,p) and monomial basis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vertex operator algebra arising from the minimal series M(3,p) and monomial basis will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-374894