Holographic Complexity of Einstein-Maxwell-Dilaton Gravity
Dec 28, 2017
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Abstract: (Springer)
We study the holographic complexity of Einstein-Maxwell-Dilaton gravity using the recently proposed “complexity = volume” and “complexity = action” dualities. The model we consider has a ground state that is represented in the bulk via a so-called hyperscaling violating geometry. We calculate the action growth of the Wheeler-DeWitt patch of the corresponding black hole solution at non-zero temperature and find that, depending on the parameters of the theory, there is a parametric enhancement of the action growth rate relative to the conformal field theory result. We match this behavior to simple tensor network models which can capture aspects of hyperscaling violation. We also exhibit the switchback effect in complexity growth using shockwave geometries and comment on a subtlety of our action calculations when the metric is discontinuous at a null surface.Note:
- 30 pages; v2: Fixed a technical error. Corrected result no longer has a logarithmic divergence in the action growth rate associated with the singularity. Conjectured complexity growth rate now also matches better with tensor network models
- AdS-CFT Correspondence
- Holography and condensed matter physics (AdS/CMT)
- Renormalization Group
- geometry
- ground state
- enhancement
- temperature
- gravitation
- holography
- black hole
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