Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: K3 String Theory, Lattices and Moonshine   In this paper we address the following two closely related questions. First,
we complete the classification of finite symmetry groups of type IIA string
theory on $K3\times \mathbb R^6$, where Niemeier lattices play an important
role. This extends earlier results by including points in the moduli space with
enhanced gauge symmetries in spacetime, or, equivalently, where the world-sheet
CFT becomes singular. After classifying the symmetries as abstract groups, we
study how they act on the BPS states of the theory. In particular, we classify
the conjugacy classes in the T-duality group $O^+(\Gamma^{4,20})$ which
represent physically distinct symmetries. Subsequently, we make two conjectures
regarding the connection between the corresponding twining genera of $K3$ CFTs
and Conway and umbral moonshine, building upon earlier work on the relation
between moonshine and the $K3$ elliptic genus.

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The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio