Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exceptional collections, t-structures, and categorical action of shifted
  $q=0$ affine algebra, $\mathfrak{sl}_{2}$ case   In this article, we show that the categorical action of the shifted $q=0$
affine algebra can be used to construct (or induce) t-structures on the weight
categories. The main idea is to interpret the exceptional collection
constructed by Kapranov as convolution of Fourier-Mukai kernels in the
categorical action via using the Borel-Weil-Bott theorem.
  In particular, when the categories are the bounded derived category of
coherent sheaves on Grassmannians. The t-structure we obtain is precisely the
exotic t-structure defined by Bezrukavnikov of the exceptional collections
given by Kapranov. As an application, we calculate the matrix coefficients for
generators of the shifted $q=0$ affine algebra on the basis given by Kapranov
exceptional collections.

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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn