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Maximal rank of extremal marginal tracial states
States on coupled quantum system whose restrictions to each subsystems are
normalized traces are called marginal tracial states. We investigate extremal
marginal tracial states and maximal rank of such states. Diagonal marginal
tracial states are also considered.Comment: 10 page
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
-cofiniteness of the subalgebra are established. Our result contains the
case of the vertex operator algebra associated with the Leech lattice.Comment: 77 page
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