Holographic Lattices and Numerical Techniques
arXiv:1712.00548
Abstract
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.
Lecture notes for a course given at the "School on Numerical Methods in Gravity and Holography", held at Universidad de Concepcion, Chile, in November 2017. 20 pages, 9 figures. Ancillary .nb files available upon request. v2: acknowledgements added
References in corpus (6)
- Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma
- A simple holographic model of momentum relaxation
- Quasinormal Modes of Near Extremal Black Branes
- Gravity Dual of Spatially Modulated Phase
- Further Evidence for Lattice-Induced Scaling
- Black holes dual to helical current phases