Book ChapterDOI
Emergence of Gravity and RG Flow
Ayan Mukhopadhyay
- Vol. 187, pp 283-302
TLDR
In this paper, Padmanabhan et al. reformulated Einstein's equations in AdS as a non-perturbative RG flow that further leads to a new approach towards constructing strongly interacting QFTs.Abstract:
This is a tribute to Padmanabhan’s works on the holographic principle which have consistently enunciated the profound philosophy that the classical equations of gravity themselves hold the key to understanding their holographic origin. I discuss how this can be realised by reformulating Einstein’s equations in AdS as a non-perturbative RG flow that further leads to a new approach towards constructing strongly interacting QFTs. 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.read more
Citations
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BookDOI
A Practical Mini-Course on Applied Holography
TL;DR: In this paper, the authors present a collection of notes based on lectures given at IIT Madras in September 2019 and at IFT Madrid in November 2019 on applied holography and especially the analytic and numerical techniques involved.
References
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Journal ArticleDOI
Nonlinear Fluid Dynamics from Gravity
TL;DR: In this paper, a derivation of the nonlinear equations of boundary fluid dynamics from gravity from gravity is presented, with specific values for fluid parameters, and an explicit expression for the expansion of this fluid stress tensor including terms up to second order in the derivative expansion.
Book
Black holes: The membrane paradigm
TL;DR: In this article, the physics of black holes are explored in terms of a membrane paradigm which treats the event horizon as a two-dimensional membrane embedded in three-dimensional space, and a 3+1 formalism is used to split Schwarzschild space-time and the laws of physics outside a nonrotating hole.
Journal ArticleDOI
On the holographic renormalization group
TL;DR: In this article, a direct correspondence between the classical evolution equations of supergravity and the renormalization group (RG) equations of the dual $4-d$ large $N$ gauge theory was proposed.
Journal ArticleDOI
Entanglement Renormalization and Holography
TL;DR: In this paper, a generalized notion of holography inspired by holographic dualities in quantum gravity is proposed. The generalization is based upon organizing information in a quantum state in terms of scale and defining a higher-dimensional geometry from this structure.
Journal ArticleDOI
Relativistic viscous hydrodynamics, conformal invariance, and holography
TL;DR: In this article, the second-order viscous hydrodynamics in conformal field theories at finite temperature was considered and conformal invariance imposes powerful constraints on the form of second-orders corrections.