Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $T^3$ deformations and $\beta$-deformed geometries   We discuss $\beta$-deformed geometries on two types of $T^3$'s where the
direction along the third coordinate is not orthogonal to the direction along
the second coordinate or the direction along the first coordinate. We show that
the intersection angle between the direction along the third coordinate and the
direction along the second coordinate corresponds to the parameter of the
S-duality of the $\beta$-deformation while the intersection angle between the
direction along the third coordinate and the direction along the first
coordinate generalizes the $\beta$-deformed geometry.

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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: eess