Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emergent Einstein Equation in p-adic CFT Tensor Networks   We take the tensor network describing explicit p-adic CFT partition functions
proposed in [1], and considered boundary conditions of the network describing a
deformed Bruhat-Tits (BT) tree geometry. We demonstrate that this geometry
satisfies an emergent graph Einstein equation in a unique way that is
consistent with the bulk effective matter action encoding the same correlation
function as the tensor network, at least in the perturbative limit order by
order away from the pure BT tree. Moreover, the (perturbative) definition of
the graph curvature in the Mathematics literature naturally emerges from the
consistency requirements of the emergent Einstein equation. This could provide
new insights into the understanding of gravitational dynamics potentially
encoded in more general tensor networks.

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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci