Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The holographic dual of the Penrose transform   We consider the holographic duality between type-A higher-spin gravity in
AdS_4 and the free U(N) vector model. In the bulk, linearized solutions can be
translated into twistor functions via the Penrose transform. We propose a
holographic dual to this transform, which translates between twistor functions
and CFT sources and operators. We present a twistorial expression for the
partition function, which makes global higher-spin symmetry manifest, and
appears to automatically include all necessary contact terms. In this picture,
twistor space provides a fully nonlocal, gauge-invariant description underlying
both bulk and boundary spacetime pictures. While the bulk theory is handled at
the linear level, our formula for the partition function includes the effects
of bulk interactions. Thus, the CFT is used to solve the bulk, with twistors as
a language common to both. A key ingredient in our result is the study of
ordinary spacetime symmetries within the fundamental representation of
higher-spin algebra. The object that makes these "square root" spacetime
symmetries manifest becomes the kernel of our boundary/twistor transform, while
the original Penrose transform is identified as a "square root" of CPT.

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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph