Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: AdS_5 Solutions of Type IIB Supergravity and Generalized Complex
  Geometry   We use the formalism of generalized geometry to study the generic
supersymmetric AdS_5 solutions of type IIB supergravity that are dual to N=1
superconformal field theories (SCFTs) in d=4. Such solutions have an associated
six-dimensional generalized complex cone geometry that is an extension of
Calabi-Yau cone geometry. We identify generalized vector fields dual to the
dilatation and R-symmetry of the dual SCFT and show that they are generalized
holomorphic on the cone. We carry out a generalized reduction of the cone to a
transverse four-dimensional space and show that this is also a generalized
complex geometry, which is an extension of Kahler-Einstein geometry.
Remarkably, provided the five-form flux is non-vanishing, the cone is
symplectic. The symplectic structure can be used to obtain Duistermaat-Heckman
type integrals for the central charge of the dual SCFT and the conformal
dimensions of operators dual to BPS wrapped D3-branes. We illustrate these
results using the Pilch-Warner solution.

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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph