The fixed point subalgebra of a lattice vertex operator algebra by an automorphism of order three
Abstract
We study the subalgebra of the lattice vertex operator algebra V2A2 consisting of the fixed points of an automorphism which is induced from an order 3 isometry of the root lattice A2. We classify the simple modules for the subalgebra. The rationality and the C2-cofiniteness are also established.
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