Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the sharp constant in "magnetic" 1D embedding theorem   We study the sharp constant in the embedding theorem $H^1(0,2\pi)\to
L_q(0,2\pi)$ in the case where the norm in $H^1(0,2\pi)$ is defined via the
energy of a 1D magnetic Schr\"odinger operator.

32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
18
The categories of this paper are: econ
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th