Self-dual Vertex Operator Superalgebras with Shadows of large minimal weight
نویسنده
چکیده
The shadow V ′ of a self-dual vertex operator superalgebra V is defined as the direct sum of the irreducible modules of its even vertex operator subalgebra V(0) not contained in V = V(0)⊕V(1). We describe the self-dual “very nice” unitary rational vertex operator superalgebras V of rank c whose shadows have the largest possible minimal weights c 8 or c 8 −1. The results are analogous to and imply the corresponding results for self-dual codes and lattices.
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