Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal Gravity from Gauge Theory   We use the duality between color and kinematics to obtain scattering
amplitudes in non-minimal conformal N=0,1,2,4 (super)gravity theories. Generic
tree amplitudes can be constructed from a double copy between
(super-)Yang-Mills theory and a new gauge theory built entirely out of
dimension-six operators. The latter theory is marginal in six dimensions and
contains modes with a wrong-sign propagator, echoing the behavior of conformal
gravity. The dimension-six Lagrangian is uniquely determined by demanding that
its scattering amplitudes obey the color-kinematics duality. The conformal
gravity amplitudes obtained from the double copy are compared with the
Berkovits-Witten twistor string and shown to agree up to at least eight points
in the MHV sector. Our construction can be generalized in a number of ways.
Adding scalars to the dimension-six theory gives Maxwell-Weyl gravity, and
further adding phi^3 self-interactions among these scalars gives
Yang-Mills-Weyl gravity. The latter is identified with Witten's twistor string
for maximal N=4 supersymmetry. Deforming the dimension-six theory by adding a
Yang-Mills term, m^2 F^2, gives a gauge theory that interpolates between
marginal D=6 and D=4 theories. The corresponding double copy gives an
interpolation between conformal gravity and Einstein gravity.

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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex