Abstract

In this paper, we give a coset construction of the orbifold VOA V2A2τ, where τ is an order three automorphism of V2A2. The main idea is to use conjugations of several automorphisms of the lattice VOA VE6, which in some sense are analogous to Frenkel–Lepowsky–Meurman’s triality map. As a consequence, we construct explicitly many intertwining operators among modules of twisted type and obtain lower bounds for their fusion rules.

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