• DOI:10.1142/S0217751X16300593
• Corpus ID: 119295708

Understanding the holographic principle via RG flow

@article{Mukhopadhyay2016UnderstandingTH,
  title={Understanding the holographic principle via RG flow},
  author={Ayan Mukhopadhyay},
  journal={arXiv: High Energy Physics - Theory},
  year={2016}
}

• A. Mukhopadhyay
• Published 30 November 2016
• Physics
• arXiv: High Energy Physics - Theory

This is a review of some recent works which demonstrate how the classical equations of gravity in AdS themselves hold the key to understanding their holographic origin in the form of a strongly coupled large $N$ QFT whose algebra of local operators can be generated by a few (single-trace) elements. I discuss how this can be realised by reformulating Einstein's equations in AdS in the form of a non-perturbative RG flow that further leads to a new approach towards constructing strongly interacting QFTs. In particular, the RG flow can self-determine the UV data that are otherwise obtained by solving classical gravity equations and demanding that the solutions do not have naked singularities. For a concrete demonstration, I focus on the hydrodynamic limit in which case this RG flow connects the AdS/CFT correspondence with the membrane paradigm, and also reproduces the known values of the dual QFT transport coefficients.