Representations and fusion rules for the orbifold vertex operator algebras L(sl2)over-cap (k, 0)(Zp)

摘要

For the cyclic group Z(p) (p is a prime) and a positive integer k, we study the representations of the orbifold vertex operator algebra L-(sl2) over cap (k, 0)(Zp). All the irreducible modules for L-(sl2) over cap (k, 0)(Zp) are classified and constructed explicitly. Quantum dimensions and fusion rules for L-(sl2) over cap (k, 0)(Zp) are completely determined.