Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Testing Holographic Conjectures of Complexity with Born-Infeld Black
  Holes   In this paper, we use Born-Infeld black holes to test two recent holographic
conjectures of complexity, the "Complexity = Action" (CA) duality and
"Complexity = Volume 2.0" (CV) duality. The complexity of a boundary state is
identified with the action of the Wheeler-deWitt patch in CA duality, while
this complexity is identified with the spacetime volume of the WdW patch in CV
duality. In particular, we check whether the Born-Infeld black holes violate
the Lloyd bound: $\mathcal{\dot{C}\leq}\frac{2}{\pi\hbar}\left[ \left(
M-Q\Phi\right) -\left( M-Q\Phi\right) _{\text{gs}}\right] $, where gs stands
for the ground state for a given electrostatic potential. We find that the
ground states are either some extremal black hole or regular spacetime with
nonvanishing charges. Near extremality, the Lloyd bound is violated in both
dualities. Near the charged regular spacetime, this bound is satisfied in CV
duality but violated in CA duality. When moving away from the ground state on a
constant potential curve, the Lloyd bound tend to be saturated from below in CA
duality, while $\mathcal{\dot{C}}$ is $\pi/2$ times as large as the Lloyd bound
in CV duality.

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The categories of this paper are: funct-an
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The categories of this paper are: math
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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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: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom