Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Opers versus nonabelian Hodge   For a complex simple simply connected Lie group $G$, and a compact Riemann
surface $C$, we consider two sorts of families of flat $G$-connections over
$C$. Each family is determined by a point ${\mathbf u}$ of the base of
Hitchin's integrable system for $(G,C)$. One family $\nabla_{\hbar,{\mathbf
u}}$ consists of $G$-opers, and depends on $\hbar \in {\mathbb C}^\times$. The
other family $\nabla_{R,\zeta,{\mathbf u}}$ is built from solutions of
Hitchin's equations, and depends on $\zeta \in {\mathbb C}^\times, R \in
{\mathbb R}^+$. We show that in the scaling limit $R \to 0$, $\zeta = \hbar R$,
we have $\nabla_{R,\zeta,{\mathbf u}} \to \nabla_{\hbar,{\mathbf u}}$. This
establishes and generalizes a conjecture formulated by Gaiotto.

25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph