Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Information flows in strongly coupled ABJM theory   We use holographic methods to characterize the RG flow of quantum information
in a Chern-Simons theory coupled to massive fermions. First, we use
entanglement entropy and mutual information between strips to derive the
dimension of the RG-driving operator and a monotonic c-function. We then
display a scaling regime where, unlike in a CFT, the mutual information between
strips changes non-monotonically with strip width, vanishing in both IR and UV
but rising to a maximum at intermediate scales. The associated information
transitions also contribute to non-monotonicity in the conditional mutual
information which characterizes the independence of neighboring strips after
conditioning on a third. Finally, we construct a measure of extensivity which
tests to what extent information that region A shares with regions B and C is
additive. In general, mutual information is super-extensive in holographic
theories, and we might expect super-extensivity to be maximized in CFTs since
they are scale-free. Surprisingly, our massive theory is more super-extensive
than a CFT in a range of scales near the UV limit, although it is less
super-extensive than a CFT at all lower scales. Our analysis requires the full
ten-dimensional dual gravity background, and the extremal surfaces computing
entanglement entropy explore all of these dimensions.

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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
4
The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
2
The categories of this paper are: math
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cs