Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mirror map for Fermat polynomial with non-abelian group of symmetries   We study Landau-Ginzburg orbifolds $(f,G)$ with $f=x_1^n+\ldots+x_N^n$ and
$G=S\ltimes G^d$, where $S\subseteq S_N$ and $G^d$ is either the maximal group
of scalar symmetries of $f$ or the intersection of the maximal diagonal
symmetries of $f$ with $\mathrm{SL}_N(\mathbb{C})$. We construct a mirror map
between the corresponding phase spaces and prove that it is an isomorphism
restricted to a certain subspace of the phase space when $n=N$ is a prime
number. When $S$ satisfies the condition PC of Ebeling and Gusein-Zade this
subspace coincides with the full space. We also show that two phase spaces are
isomorphic for $n=N=5$.

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The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: stat
11
The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
9
The categories of this paper are: nlin