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Complexity and Near Extremal Charged Black Branes

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arxiv 1901.00689 v3 pith:N4GOL5ZD submitted 2019-01-03 hep-th

classification hep-th
keywords complexitynearblackchargedcutoffextremalhorizonlimit
verification ladder T0 review T1 audit T2 compute T3 formal

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We compute holographic complexity of charged black brane solutions in arbitrary dimensions for the near horizon limit of near extremal case using two different methods. The corresponding complexity may be obtained either by taking the limit from the complexity of the charged black brane, or by computing the complexity for near horizon limit of near extremal solution. One observes that these results coincide if one assumes to have a cutoff behind horizon whose value is fixed by UV cutoff and also taking into account a proper counterterm evaluated on this cutoff. We also consider the situation for Vaidya charged black branes too.

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  1. An Infalling Observer and Behind the Horizon Cutoff

    hep-th 2019-08 conditional novelty 4.0 of 10

    For an eternal black hole, the interior partition function factorizes as the square of the exterior one, fixing the behind-the-horizon cutoff in terms of the UV cutoff.

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