{ "id": "1612.00141", "version": "v1", "published": "2016-12-01T04:52:48.000Z", "updated": "2016-12-01T04:52:48.000Z", "title": "Understanding the holographic principle via RG flow", "authors": [ "Ayan Mukhopadhyay" ], "comment": "19 pages; invited review to IJMPA", "categories": [ "hep-th", "gr-qc" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2016-12-01T04:52:48.000Z" } ], "analyses": { "keywords": [ "holographic principle", "dual qft transport coefficients", "understanding", "rg flow connects", "reformulating einsteins equations" ], "tags": [ "review article" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable" } } }