Resumen de A \mathbbZ2-orbifold model of the symplectic fermionic vertex

Toshiyuki Abe

• We give an example of an irrational C 2-cofinite vertex operator algebra whose central charge is -2d for any positive integer d. This vertex operator algebra is given as the even part of the vertex operator superalgebra generated by d pairs of symplectic fermions, and it is just the realization of the c = -2-triplet algebra given by Kausch in the case d = 1. We also classify irreducible modules for this vertex operator algebra and determine its automorphism group