Representations of Code Vertex Operator Superalgebras

Abstract

We study the representations of code vertex operator superalgebras resulting from a binary linear code which contains codewords of odd weight. We also show that there exists only one set of seven mutually orthogonal conformal vectors with central charge 1/2 in the Hamming code vertex operator superalgebra [Formula: see text]. Furthermore, we classify all the irreducible weak [Formula: see text]-modules.