Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emergent spacetime & Quantum Entanglement in Matrix theory   In the context of the Bank-Fishler-Shenker-Susskind Matrix theory, we analyze
a spherical membrane in light-cone M theory along with two asymptotically
distant probes. In the appropriate energy regime, we find that the membrane
behaves like a smeared Matrix black hole; and the spacetime geometry seen by
the probes can become non-commutative even far away from regions of Planckian
curvature. This arises from non-linear Matrix interactions where fast matrix
modes lift a flat direction in the potential -- akin to the Paul trap
phenomenon in atomic physics. In the regime where we do have a notion of
emergent spacetime, we show that there is non-zero entanglement entropy between
supergravity modes on the membrane and the probes. The computation can easily
be generalized to other settings, and this can help develop a dictionary
between entanglement entropy and local geometry -- similar to Ryu-Takayanagi
but instead for asymptotically flat backgrounds.

13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
14
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: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin