Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Confluent Heun functions in gauge theories on thick braneworlds   We investigate the propagation modes of gauge fields in an infinite
Randall-Sundrum scenario. In this model a sine-Gordon soliton represents our
thick four-dimensional braneworld while an exponentially coupled scalar acts
for the dilaton field. For the gauge-field motion we find a differential
equation which can be transformed into a confluent Heun equation. By means of
another change of variables we obtain a related Schrodinger equation with a
family of symmetric rational (\gamma-\omega z^2)/(1-z^2)^2 potential functions.
We discuss both results and present the infinite spectrum of analytical
solutions for the gauge field. Finally, we assess the existence and the
relative weights of Kaluza-Klein modes in the present setup.

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
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
1
The categories of this paper are: cs