Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Categorical Tinkertoys for N=2 Gauge Theories   In view of classification of the quiver 4d N=2 supersymmetric gauge theories,
we discuss the characterization of the quivers with superpotential (Q,W)
associated to a N=2 QFT which, in some corner of its parameter space, looks
like a gauge theory with gauge group G. The basic idea is that the Abelian
category rep(Q,W) of (finite-dimensional) representations of the Jacobian
algebra $\mathbb{C} Q/(\partial W)$ should enjoy what we call the Ringel
property of type G; in particular, rep(Q,W) should contain a universal
`generic' subcategory, which depends only on the gauge group G, capturing the
universality of the gauge sector. There is a family of 'light' subcategories
$\mathscr{L}_\lambda\subset rep(Q,W)$, indexed by points $\lambda\in N$, where
$N$ is a projective variety whose irreducible components are copies of
$\mathbb{P}^1$ in one--to--one correspondence with the simple factors of G.
  In particular, for a Gaiotto theory there is one such family of
subcategories, $\mathscr{L}_{\lambda\in N}$, for each maximal degeneration of
the corresponding surface $\Sigma$, and the index variety $N$ may be identified
with the degenerate Gaiotto surface itself: generic light subcategories
correspond to cylinders, while closed-point subcategories to `fixtures'
(spheres with three punctures of various kinds) and higher-order
generalizations. The rules for `gluing' categories are more general that the
geometric gluing of surfaces, allowing for a few additional exceptional N=2
theories which are not of the Gaiotto class.

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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn