| Vertex operator algebra belongs to the cross research field of functional analysis and algebra,and has important applications in knot theory,quantum field theory,statistical physics,conformal field theory.In two-dimensional conformal field theory,the ‘orbifold theory’ refers to the theory attached to the fixed point subalgebra of a vertex algebra under the action of a finite group of automorphisms.In this paper,we mainly study the orbifold theory of 6A-vertex operator algebras.In the first part of this paper,we introduce the research background of 6A-vertex operator algebra and some definitions and results we need later.In the second part,we study the Ising vectors in 6A-vertex operator algebra and get the concrete form of the seventh Ising vector under a basic.We give the relationship between the corresponding Miyamoto involutives and the entire automorphism group.In the third part,we use the quantum dimensions,quantum Galois theory and some highest weight vectors to determine three fixed point subalgebras of 6A-vertex operator algebra.Finally,we give the representations of one of the fixed point subalgebra by using GKO-construction. |
