Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holographic Entanglement Entropy of Local Quenches in AdS$_4$/CFT$_3$: A
  Finite-Element Approach   Understanding quantum entanglement in interacting higher-dimensional
conformal field theories is a challenging task, as direct analytical
calculations are often impossible to perform. With holographic entanglement
entropy, calculations of entanglement entropy turn into a problem of finding
extremal surfaces in a curved spacetime, which we tackle with a numerical
finite-element approach. In this paper, we compute the entanglement entropy
between two half-spaces resulting from a local quench, triggered by a local
operator insertion in a CFT$_3$. We find that the growth of entanglement
entropy at early time agrees with the prediction from the first law, as long as
the conformal dimension $\Delta$ of the local operator is small. Within the
limited time region that we can probe numerically, we observe deviations from
the first law and a transition to sub-linear growth at later time. In
particular, the time dependence at large $\Delta$ shows qualitative differences
to the simple logarithmic time dependence familiar from the CFT$_2$ case. We
hope that our work will motivate further studies, both numerical and
analytical, on entanglement entropy in higher dimensions.

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The categories of this paper are: gr-qc
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The categories of this paper are: stat
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
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The categories of this paper are: math
3
The categories of this paper are: physics
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The categories of this paper are: econ
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas