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Holographic Lattices and Numerical Techniques

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arxiv 1712.00548 v2 pith:KM57SYKW submitted 2017-12-02 hep-th gr-qc

Holographic Lattices and Numerical Techniques

classification hep-th gr-qc
keywords latticesnumericalsolutionsalongblackboundarybreakconductivity
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In these notes we discuss various methods relevant to the numerical construction of stationary black hole solutions in General Relativity with negative cosmological constant. We focus on solutions which explicitly break translational invariance along the boundary directions. Within the framework of the gauge/gravity duality, these can be interpreted as lattices. They have finite conductivity and thus help us move one step forward towards more realistic scenarios in holography.

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Cited by 1 Pith paper

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  1. Nonequilibrium steady states in driven holographic Weyl semi-metals

    hep-th 2026-02 conditional novelty 6.0

    A driven holographic Weyl semimetal supports a stable nonequilibrium steady state, becomes superharmonic and then chaotic at stronger driving, and exhibits strong-coupling chiral pumping in a magnetic field.