Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Physical Origin for Singular Support Conditions in Geometric Langlands
  Theory   We explain how the nilpotent singular support condition introduced into the
geometric Langlands conjecture by Arinkin and Gaitsgory arises naturally from
the point of view of N = 4 supersymmetric gauge theory. We define what it means
in topological quantum field theory to restrict a category of boundary
conditions to the full subcategory of objects compatible with a fixed choice of
vacuum, both in functorial field theory and in the language of factorization
algebras. For B-twisted N = 4 gauge theory with gauge group G, the moduli space
of vacua is equivalent to h*/W , and the nilpotent singular support condition
arises by restricting to the vacuum 0 in h*/W. We then investigate the
categories obtained by restricting to points in larger strata, and conjecture
that these categories are equivalent to the geometric Langlands categories with
gauge symmetry broken to a Levi subgroup, and furthermore that by assembling
such for the groups GL_n for all positive integers n one finds a hidden
factorization structure for the geometric Langlands theory.

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con