3-state Potts Model and Automorphism of Vertex Operator Algebra of Order 3
نویسنده
چکیده
In [M2], the author has defined an automorphism τ of a vertex operator algebra (VOA) of order 2 using a sub VOA isomorphic to Ising model L(12 , 0). We here define an automorphism of VOA of order 3 by using a sub VOA isomorphic to a direct sum of 3-state Potts models L(45 , 0) and an its module L( 4 5 , 3). If V is the moonshine VOA V ♮, the defined automorphism is a 3A element of the monster simple group.
منابع مشابه
Z 3 Symmetry and W 3 Algebra in Lattice Vertex Operator Algebras
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