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Niemeier Lattices in the Free Fermionic Heterotic–String Formulation
Published 2017-01-01“…In the second approach, we use the free fermionic tools to classify the twenty-four-dimensional Niemeier lattices.…”
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Duality defects in D n -type Niemeier lattice CFTs
Published 2024-05-01“…Abstract We discuss the construction of duality defects in c = 24 meromorphic CFTs that correspond to Niemeier lattices. We will illustrate our constructions for the D n -type lattices. …”
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BKM Lie superalgebras from counting twisted CHL dyons – II
Published 2019-11-01“…We show the modularity of some Siegel modular forms that appear in umbral moonshine associated with Niemeier lattices constructed from A-type root systems and further show that the same Siegel modular forms appear for generalized Mathieu moonshine in some cases. …”
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A lattice theoretical interpretation of generalized deep holes of the Leech lattice vertex operator algebra
Published 2023-01-01“…Höhn, which relates the weight one Lie algebras of holomorphic VOAs of central charge $24$ to certain codewords associated with the glue codes of Niemeier lattices.…”
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