Bounds on the local energy density of holographic CFTs from bulk geometry

@article{Fischetti2016BoundsOT,
  title={Bounds on the local energy density of holographic CFTs from bulk geometry},
  author={Sebastian Fischetti and Andrew Hickling and Toby Wiseman},
  journal={Classical and Quantum Gravity},
  year={2016},
  volume={33},
  pages={225003}
}
The stress tensor is a basic local operator in any field theory; in the context of AdS/CFT, it is the operator which is dual to the bulk geometry itself. Here we exploit this feature by using the bulk geometry to place constraints on the local energy density in static states of holographic (2+1)-dimensional CFTs living on a closed (but otherwise generally curved) spatial geometry. We allow for the presence of a marginal scalar deformation, dual to a massless scalar field in the bulk. For… 

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