We study a particular VOA which is a subVOA of the E8-lattice VOA and determine its automorphism group. Some of this group may be seen within the group E8(C), but not all of it. The automorphism group turns out to be the 3-transposition group O(10, 2) of order 2357.17.31 and it contains the simple group Ω(10, 2) with index 2. We use a recent theory of Miyamoto to get involutory automorphisms as...

The 3-transposition groups that act on a vertex operator algebra in the way described by Miyamoto in [Mi1] are classified under the assumption that the group is centerfree and the VOA carries a positive-definite invariant Hermitian form. This generalizes and refines the result of Kitazume and Miyamoto [KM]. Application to a similar but different situation is also considered in part by a slight ...

In this paper, we demonstrate a novel multi-section directly modulated laser transmitter for upstream operation in the application of time wavelength division multiplexing (TWDM) architecture. The photonic integrated circuit (PIC) is fabricated using regrowth-free process that favors simplified and fast manufacturing. PIC based on master-slave configuration, with an addition variable optical at...

In this paper, we give decompositions of the moonshine module V ♮ with respect to subVOAs associated to extremal Type II codes over Z2k for an integer k ≥ 2. Those subVOAs are isomorphic to the tensor product of 24 copies of the charge conjugation orbifold VOA. Using such decompositions, we obtain some elements of type 4A (k odd) and 2B (k even) of the Monster simple group Aut(V ♮).

In this article we study and obtain a classification of Ising vectors in vertex operator algebras associated to binary codes and √ 2 times root lattices, where an Ising vector is a conformal vector with central charge 1/2 generating a simple Virasoro sub VOA. Then we apply our results to study certain commutant subalgebras related to root systems. We completely classify all Ising vectors in suc...

We investigate a general theory of the Z2-twisted representations of vertex operator superalgebras. Certain one-to-one correspondence theorems are established. We also give an explicit realization of the Ising model SVOA and its Z2-twisted modules. As an application, we obtain the Gerald Höhn’s Babymonster SVOA VB♮ and its Z2-twisted module VB ♮ tw from the moonshine VOA V ♮ by cutting off the ...