Vertex operators for imaginary ${\mathfrak{gl}}_2$ subalgebras in the Monster Lie Algebra

Darlayne Addabbo, Lisa Carbone, Elizabeth Jurisich +2

The Monster Lie algebra $\mathfrak{m}$ is a quotient of the physical space of the vertex algebra $V=V^{♮}\otimes V_{1,1}$, where $V^{♮}$ is the Moonshine module vertex ope…