Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mirror duality of Landau-Ginzburg models via Discrete Legendre
  Transforms   We introduce a duality of Landau-Ginzburg models based on the notion of the
discrete Legendre transform given by Gross-Siebert. It generalizes the duality
used to construct mirrors of complete intersections in toric varieties in a
recent joint work with Gross and Katzarkov. We discuss how it appears as a
limit version of the semi-flat Strominger-Yau-Zaslow construction of mirror
symmetry with potential given as the obstruction in Floer theory.

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The categories of this paper are: atom-ph
3
The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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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: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nlin