The Fixed Point Subalgebra of a Lattice Vertex Operator Algebra by an Automorphism of Order Three
نویسندگان
چکیده
We study the subalgebra of the lattice vertex operator algebra V√ 2A2 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.
منابع مشابه
Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three
We study the fixed point subalgebra of a certain class of lattice vertex operator algebras by an automorphism of order 3, which is a lift of a fixed-point-free isometry of the underlying lattice. We classify the irreducible modules for the subalgebra. Moreover, the rationality and the C2-cofiniteness of the subalgebra are established. Our result contains the case of the vertex operator algebra ...
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