Odd Lagrangian subgroups of the discriminant group of an abelian Chern-Simons theory give fermionic CFTs whose spectra are an NS lattice and its shadow, yielding new fermionic code CFTs and a classification of supersymmetric level-one affine CFTs.
SUSY Lattice Vertex Algebras
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abstract
We construct and study SUSY lattice vertex algebras. As a simple example, we obtain the simple vertex algebra associated to the vertex algebra $V_c(N3)$ of central charge $c=3/2$, as the SUSY lattice vertex algebra associated to $\mathbb{Z}$ with bilinear form $(a,b) = 2ab$.
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Fermionic CFTs from topological boundaries in abelian Chern-Simons theories
Odd Lagrangian subgroups of the discriminant group of an abelian Chern-Simons theory give fermionic CFTs whose spectra are an NS lattice and its shadow, yielding new fermionic code CFTs and a classification of supersymmetric level-one affine CFTs.