Research Article
Niemeier Lattices in the Free Fermionic Heterotic–String Formulation
Table 4
Free fermionic realizations of all inequivalent Niemeier lattices. Underline means permutations of all blocks separated by a comma. For example, the three basis vectors needed for are , , and . Only the right-moving components of the basis vectors appear explicitly; the left-moving ones are understood to be zero. We also state explicitly which generalized phases in the upper triangular part of the phase matrix are not . For a consistent free fermionic model, the vector (at least) should also be added to the set to ensure that vector is generated.
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