Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A topologically twisted index for three-dimensional supersymmetric
  theories   We provide a general formula for the partition function of three-dimensional
$\mathcal{N}=2$ gauge theories placed on $S^2 \times S^1$ with a topological
twist along $S^2$, which can be interpreted as an index for chiral states of
the theories immersed in background magnetic fields. The result is expressed as
a sum over magnetic fluxes of the residues of a meromorphic form which is a
function of the scalar zero-modes. The partition function depends on a
collection of background magnetic fluxes and fugacities for the global
symmetries. We illustrate our formula in many examples of 3d
Yang-Mills-Chern-Simons theories with matter, including Aharony and
Giveon-Kutasov dualities. Finally, our formula generalizes to
$\Omega$-backgrounds, as well as two-dimensional theories on $S^2$ and
four-dimensional theories on $S^2 \times T^2$. In particular this provides an
alternative way to compute genus-zero A-model topological amplitudes and
Gromov-Witten invariants.

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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: stat