Observation and Vertex Operator Algebras Generated by Two Conformal Vectors of Central Charge 1 / 2
نویسندگان
چکیده
and the Monster simple group was discussed. In this paper, we will provide the technical details. We will determine the structure of the coset subalgebras and show that they are all generated by two conformal vectors of central charge 1/2.We also study the representation theory of these coset subalgebras and show that the product of two Miyamoto involutions is in the desired conjugacy class of the Monster simple group if a coset subalgebra U is actually contained in the Moonshine VOA V . The existence of U inside the Moonshine VOA V for the cases of 1A, 2A, 2B, and 4A is also established. Moreover, the cases for 3A, 5A, and 3C are discussed.
منابع مشابه
m at h . Q A ] 1 8 M ar 1 99 9 Decomposition of the vertex operator algebra V √ 2 A 3
A conformal vector with central charge c in a vertex operator algebra is an element of weight two whose component operators satisfy the Virasoro algebra relation with central charge c. Then the vertex operator subalgebra generated by the vector is isomorphic to a highest weight module for the Virasoro algebra with central charge c and highest weight 0 (cf. [M]). Let V2Al be the vertex operator ...
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