Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional Calabi-Yau Categories from Landau-Ginzburg Models   We give criteria for the existence of a Serre functor on the derived category
of a gauged Landau-Ginzburg model. This is used to provide a general theorem on
the existence of an admissible (fractional) Calabi-Yau subcategory of a gauged
Landau-Ginzburg model and a geometric context for crepant categorical
resolutions. We explicitly describe our framework in the toric setting. As a
consequence, we generalize several theorems and examples of Orlov and
Kuznetsov, ending with new examples of semi-orthogonal decompositions
containing (fractional) Calabi-Yau categories.

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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio