Extension of the tensor product of unitary virasoro vertex operator algebra

摘要

In this article, we study the representations of the vertex operator algebra ( VOA) U=U-m,U-n=L(c(m),0) x L(c(n),0) + L(c(m),h(1,m+2)(m)) x L(c(n),h(1,n+2)(n)), for m,n = 1 or 2 mod 4. As our main result, we determine all irreducible modules for U and its fusion rules.