Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shockwaves from the Operator Product Expansion   We clarify and further explore the CFT dual of shockwave geometries in
Anti-de Sitter. The shockwave is dual to a CFT state produced by a heavy local
operator inserted at a complex point. It can also be created by light
operators, smeared over complex positions. We describe the dictionary in both
cases, and compare to various calculations, old and new. In CFT, we analyze the
operator product expansion in the Regge limit, and find that the leading
contribution is exactly the shockwave operator, $\int du h_{uu}$, localized on
a bulk geodesic. For heavy sources this is a simple consequence of conformal
invariance, but for light operators it involves a smearing procedure that
projects out certain double-trace contributions to the OPE. We revisit
causality constraints in large-$N$ CFT from this perspective, and show that the
chaos bound in CFT coincides with a bulk condition proposed by Engelhardt and
Fischetti. In particular states, this reproduces known constraints on CFT
3-point couplings, and confirms some assumptions about double-trace operators
made in previous work.

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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: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: math
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an