Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deforming field theories with $U(1)\times U(1)$ global symmetry and
  their gravity duals   We find the gravity dual of a marginal deformation of ${\cal N}=4$ super Yang
Mills, and discuss some of its properties. This deformation is intimately
connected with an $SL(2,R)$ symmetry of the gravity theory. The $SL(2,R)$
transformation enables us to find the solutions in a simple way. These field
theory deformations, sometimes called $\beta$ deformations, can be viewed as
arising from a star product. Our method works for any theory that has a gravity
dual with a $U(1)\times U(1)$ global symmetry which is realized geometrically.
These include the field theories that live on D3 branes at the conifold or
other toric singularities, as well as their cascading versions.

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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
2
The categories of this paper are: math
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: stat