Extension of the Tensor Product of Unitary Virasoro Vertex Operator Algebra

Abstract

In this article, we study the representations of the vertex operator algebra (VOA)

for m, n ≡ 1 or 2 mod 4. As our main result, we determine all irreducible modules for U and its fusion rules.

Key Words:

• Fusion rules
• Unitary series
• Vertex operator algebra

Mathematics Subject Classification (1991):

• 17B68
• 17B69

ACKNOWLEDGMENT

This work is partially supported by NSC grant 94-2115-M-006-001.

Notes

Communicated by K. C. Misra.