Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: BPS D3-branes on smooth ALE manifolds   In this talk I review the recent construction of a new family of classical
BPS solutions of type IIB supergravity describing 3-branes transverse to a
6-dimensional space with topology $\mathbb{R}^{2}\times$ALE. They are
characterized by a non-trivial flux of the supergravity 2-forms through the
homology 2-cycles of a generic smooth ALE manifold. These solutions have two
Killing spinors and thus preserve $\mathcal{N}=2$ supersymmetry. They are
expressed in terms of a quasi harmonic function $H$ (the ``warp factor''),
whose properties was studied in detail in the case of the simplest ALE, namely
the Eguchi-Hanson manifold. The equation for $H$ was identified as an instance
of the confluent Heun equation.

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The categories of this paper are: q-fin
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The categories of this paper are: eess
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an