Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Families of Hitchin systems and N=2 theories   Motivated by the connection to 4d $\mathcal{N}=2$ theories, we study the
global behavior of families of tamely-ramified $SL_N$ Hitchin integrable
systems as the underlying curve varies over the Deligne-Mumford moduli space of
stable pointed curves. In particular, we describe a flat degeneration of the
Hitchin system to a nodal base curve and show that the behaviour of the
integrable system at the node is partially encoded in a pair $(O,H)$ where $O$
is a nilpotent orbit and $H$ is a simple Lie subgroup of $F_{O}$, the flavour
symmetry group associated to $O$. The family of Hitchin systems is
nontrivially-fibered over the Deligne-Mumford moduli space. We prove a
non-obvious result that the Hitchin bases fit together to form a vector bundle
over the compactified moduli space. For the particular case of
$\overline{\mathcal{M}}_{0,4}$, we compute this vector bundle explicitly.
Finally, we give a classification of the allowed pairs $(O,H)$ that can arise
for any given $N$.

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The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas