Mathematics – Quantum Algebra
Scientific paper
2010-05-03
Mathematics
Quantum Algebra
Scientific paper
We prove the conjecture of Kac-Wakimoto on the rationality of exceptional
W-algebras for the first non-trivial series, namely, for the
Bershadsky-Polyakov vertex algebras $W_3^{(2)}$ at level $k=p/2-3$ with
$p=3,5,7,\dots$. This gives new examples of rational conformal field theories.
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