Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Four-dimensional photonic lattices and discrete tesseract solitons   We theoretically study discrete photonic lattices in more than three
dimensions and point out that such systems can exist in continuous
three-dimensional (3D) space. We study discrete diffraction in the linear
regime, and predict the existence of four-dimensional (4D) tesseract solitons
in nonlinear 4D periodic photonic lattices. Finally, we propose a design
towards a potential realization of such periodic 4D lattices in experiments.

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The categories of this paper are: nucl-th
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The categories of this paper are: econ
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc