Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Niemeier Lattices in the Free Fermionic Heterotic-String Formulation   The spinor-vector duality was discovered in free fermionic constructions of
the heterotic-string in four dimensions. It played a key role in the
construction of heterotic-string models with an anomaly free extra $Z^\prime$
symmetry that may remain unbroken down to low energy scales. A generic
signature of the low scale string derived $Z^\prime$ model is via di-photon
excess that may be within reach of the LHC. A fascinating possibility is that
the spinor-vector duality symmetry is rooted in the structure of the
heterotic-string compactifications to two dimensions. The two dimensional
heterotic-string theories are in turn related to the so-called moonshine
symmetries that underlie the two dimensional compactifications. In this paper
we embark on exploration of this connection by the free fermionic formulation
to classify the symmetries of the two dimensional heterotic-string theories. We
use two complementary approaches in our classification. The first utilises a
construction which is akin to the one used in the spinor-vector duality.
Underlying this method is the triality property of $SO(8)$ representations. In
the second approach we use the free fermionic tools to classify the twenty four
dimensional Niemeier lattices.

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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: math
8
The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cs
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The categories of this paper are: astro-ph