Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: String Theory on G_2 Manifolds Based on Gepner Construction   We study the type II string theories compactified on manifolds of $G_2$
holonomy of the type $({Calabi-Yau 3-fold} \times S^1)/\bz_2$ where $CY_3$
sectors realized by the Gepner models. We construct modular invariant partition
functions for $G_2$ manifold for arbitrary Gepner models of the Calabi-Yau
sector. We note that the conformal blocks contain the tricritical Ising model
and find extra massless states in the twisted sectors of the theory when all
the levels $k_i$ of minimal models in Gepner constructions are even.

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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph