N=2 Moonshine

TL;DR

This paper constructs a moonshine model using N=2 superconformal algebra, analyzing an extremal Jacobi form and revealing a connection between representation multiplicities and the group L2(11).

Contribution

It introduces a novel moonshine model based on N=2 superconformal algebra and links representation multiplicities to L2(11) group structures.

Findings

Decomposition of massive representation multiplicities into L2(11) irreducible dimensions.

Construction of a moonshine model using N=2 superconformal algebra.

Analysis of an extremal Jacobi form of weight 0 and index 2.

Abstract

We construct a model of moonshine phenomenon based on the use of N=2 superconformal algebra. We consider an extremal Jacobi form of weight 0 and index 2, and expand it in terms of N=2 massless and massive representations. We find the multiplicities of massive representations are decomposed into a sum of dimensions of irreducible representations of the group L2(11).